We believe you can perform better on your exam, so we work hard to provide you with the best study guides, practice questions, and flashcards to empower you to be your best. Add the numerator (top number) to the product from Step 1. Follow along to see each step to make the conversion yourself. "mainEntity": [ This becomes the new numerator over the original denominator.Ex. {"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T10:58:46+00:00","modifiedTime":"2016-03-26T10:58:46+00:00","timestamp":"2022-06-22T19:19:52+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33720"},"slug":"math","categoryId":33720},{"name":"Basic Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33722"},"slug":"basic-math","categoryId":33722}],"title":"How to Convert between Mixed Numbers and Improper Fractions","strippedTitle":"how to convert between mixed numbers and improper fractions","slug":"how-to-convert-between-mixed-numbers-and-improper-fractions","canonicalUrl":"","seo":{"metaDescription":"When the numerator (top number) is greater than the denominator (bottom number), that fraction is an improper fraction. "@type": "Answer", The denominator of the fraction stays the same. First, add the numerators: The numerator is less than the denominator, The numerator is greater than (or equal to) the denominator, A whole number and proper fraction together. Its very important to remember that a denominator of 4 does not represent the value of 4. Multiply the whole number (2) by the denominator (4), and then add the numerator (3): Use this number as the numerator of your answer, keeping the same denominator: Convert the mixed number 3-5/7 to an improper fraction: Multiply the whole number (3) by the denominator (7), and then add the numerator (5). Think of the fraction bar as a division sign. We would write our mixed number as \(1\frac{1}{6}\). "text": "To turn an improper fraction into a mixed number, figure out how many times the denominator can fit into the numerator and then how much of the numerator is left over. 4 because \(44=16\) this becomes the whole number part2) How much is left over in the numerator? If Kristina drinks \(\frac{1}{4}\) quart of water for every mile, she is essentially drinking \(\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}\) quarts of water. To see why 3/2 = 1-1/2, realize that three halves of a cake is the same as one whole cake plus another half. Every improper fraction has an equivalent mixed number, and vice versa.

\n

Sometimes at the beginning of a fraction problem, converting a mixed number to an improper fraction makes the problem easier to solve. "@context": "https://schema.org", larger than (or equal to) the bottom number. For example, you can represent the improper fraction 3/2 as the equivalent mixed number 1-1/2. Now we know that \(\frac{4}{4}\) is grouped as one whole. "@type": "Question", This time, do the whole process in one step:

\n\n \n

Convert the improper fraction 11/2 to a mixed number:

\n\n

Divide the numerator (11) by the denominator (2):

\n\n

Now build a mixed number using the quotient (5) as the whole number and the remainder (1) as the numerator, keeping the same denominator (2):

\n\n

\n

Convert the improper fraction 39/5 to a mixed number:

\n\n

Divide the numerator (39) by the denominator (5):

\n\n

Build your answer using the quotient (7) as the whole number and the remainder (4) as the numerator, keeping the same denominator (5):

\n\n

\n\n

Practice questions

\n

\n

1. Convert the mixed number 5-1/4 to an improper fraction.

   \n
\n

2. Change 7-2/9 to an improper fraction.

   \n
\n

3. Express the mixed number 10-5/12 as an improper fraction.

   \n
\n

4. Convert the improper fraction 13/4 to a mixed number.

   \n
\n

5. Express the improper fraction 29/10 as a mixed number.

   \n
\n

6. Change 100/7 to a mixed number.

   \n
\n

\n

Following are the answers to the practice questions:

\n

\n

1. \n\n
\n

2. \n\n
\n

3. \n\n
\n

4. \n\n

   Divide the numerator (13) by the denominator (4):

   \n\n

   Build your answer using the quotient (3) as the whole number and the remainder (1) as the numerator, keeping the same denominator (4):

   \n\n
\n

5. \n\n

   Divide the numerator (29) by the denominator (10):

   \n\n

   Build your answer using the quotient (2) as the whole number and the remainder (9) as the numerator, keeping the same denominator (10):

   \n\n
\n

6. \n\n

   Divide the numerator (100) by the denominator (7):

   \n\n

   Build your answer using the quotient (14) as the whole number and the remainder (2) as the numerator, keeping the same denominator (7):

   \n\n
\n

","description":"

When the numerator (top number) is greater than the denominator (bottom number), that fraction is an improper fraction. An alternative form for an improper fraction is as a mixed number, which is made up of a whole number and a fraction.

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For example, you can represent the improper fraction 3/2 as the equivalent mixed number 1-1/2. AnImproper Fraction has a top number 1 because this becomes the numerator of the fractional part3) " A mixed number is a number that consists of a whole number part and a proper fractional part. Convert the mixed number 2-3/4 to an improper fraction. Which list of fractions contains amounts that are all more than one whole? This means that each pizza has 6 equal parts, and as a fraction, 6 would be considered our whole, or our denominator. He is the founder of SimpleStep Learning, an online educational platform that teaches courses in basic concepts in ten minutes or less, keeping students engaged and learning in every moment. ", Any value where the numerator is equivalent to the denominator would be expressed simply as 1.

An improper fraction is a fraction that has a larger numerator than denominator and it represents a number greater than one. The correct answer is C: \(\frac{5}{3},\frac{7}{5},\text{ and }\frac{3}{2}\). The result is an improper fraction. "@type": "Answer", Proper Fraction Examples: \(\frac{1}{2}\), \(\frac{1}{6}\), \(\frac{2}{5}\), \(\frac{13}{14}\), \(\frac{7}{11}\), Improper Fraction Examples: \(\frac{16}{11}\), \(\frac{12}{7}\), \(\frac{6}{4}\), \(\frac{3}{2}\), \(\frac{8}{3}\). To turn an improper fraction into a mixed number, figure out how many times the denominator can fit into the numerator and then how much of the numerator is left over. { Essentially, improper fractions equal a value that is more than one. "acceptedAnswer": { Then write the result on top of the denominator. Then, the number of times the denominator fits into the numerator becomes the whole number part of the mixed number, and the number left over is the numerator of the fractional part over the original denominator. },

The correct answer is A: \(1\frac{2}{3}\). improper fraction = 9 / 4. Place the sum from Step 2 over the original denominator. To see why 3/2 = 1-1/2, realize that three halves of a cake is the same as one whole cake plus another half. There are still two thirds left, so our mixed number is \(1\frac{2}{3}\). That makes it an Improper Fraction, (but there is nothing wrong about Improper Fractions). A Fraction (such as 7/4) has two numbers: The top number (the Numerator) is the number of parts we have. } But what if that first guest was really hungry and grabbed 7 slices? Fractions may be proper or improper fractions. Though we observe this type of fraction very frequently in our daily lives, it is not the only type of fraction. In his spare time, he enjoys traveling and learning foreign languages.

","authors":[{"authorId":9399,"name":"Mark Zegarelli","slug":"mark-zegarelli","description":"

Mark Zegarelli is an instructor and math and test prep tutor in New Jersey. Again, each pizza was cut into 6 equal slices, so 6 remains as our whole, or denominator. An improper fraction and a mixed number will represent the same amount but simply be written in a different form. The mixed number 1-1/2 means 1 + 1/2. Thats all there is to it!

We can see the 3 is our numerator and the 4 is our denominator. For example, the improper fraction \(\frac{7}{6}\) could also be written as the mixed number \(1\frac{1}{6}\). \(\frac{7}{4}\) written as a mixed number is \(1\frac{3}{4}\). { Join K5 to save time, skip ads and access member only features. We can combine three groups of \(\frac{1}{3}\) in order to create \(\frac{3}{3}\), or one whole. You are ordering pizza for a big celebration. These bonus worksheets are available to members only. numerator = 9, Then put the numerator over the denominator 4: This type of fraction represents a value less than one whole. This time, do the whole process in one step:

\n\n \n

Convert the improper fraction 11/2 to a mixed number:

\n\n

Divide the numerator (11) by the denominator (2):

\n\n

Now build a mixed number using the quotient (5) as the whole number and the remainder (1) as the numerator, keeping the same denominator (2):

\n\n

\n

Convert the improper fraction 39/5 to a mixed number:

\n\n

Divide the numerator (39) by the denominator (5):

\n\n

Build your answer using the quotient (7) as the whole number and the remainder (4) as the numerator, keeping the same denominator (5):

\n\n

\n\n

Practice questions

\n

\n

1. Convert the mixed number 5-1/4 to an improper fraction.

   \n
\n

2. Change 7-2/9 to an improper fraction.

   \n
\n

3. Express the mixed number 10-5/12 as an improper fraction.

   \n
\n

4. Convert the improper fraction 13/4 to a mixed number.

   \n
\n

5. Express the improper fraction 29/10 as a mixed number.

   \n
\n

6. Change 100/7 to a mixed number.

   \n
\n

\n

Following are the answers to the practice questions:

\n

\n

1. \n\n
\n

2. \n\n
\n

3. \n\n
\n

4. \n\n

   Divide the numerator (13) by the denominator (4):

   \n\n

   Build your answer using the quotient (3) as the whole number and the remainder (1) as the numerator, keeping the same denominator (4):

   \n\n
\n

5. \n\n

   Divide the numerator (29) by the denominator (10):

   \n\n

   Build your answer using the quotient (2) as the whole number and the remainder (9) as the numerator, keeping the same denominator (10):

   \n\n
\n

6. \n\n

   Divide the numerator (100) by the denominator (7):

   \n\n

   Build your answer using the quotient (14) as the whole number and the remainder (2) as the numerator, keeping the same denominator (7):

   \n\n
\n

","blurb":"","authors":[{"authorId":9399,"name":"Mark Zegarelli","slug":"mark-zegarelli","description":"

Mark Zegarelli earned degrees in mathematics and English from Rutgers University. For example, \(\frac{4}{4}\) would be grouped together as 1. For example, add 8 / 4 and 1 / 4 to find the fraction. Two parts, out of 6 parts total. } This time, do the whole process in one step: Convert the improper fraction 11/2 to a mixed number: Divide the numerator (11) by the denominator (2): Now build a mixed number using the quotient (5) as the whole number and the remainder (1) as the numerator, keeping the same denominator (2): Convert the improper fraction 39/5 to a mixed number: Divide the numerator (39) by the denominator (5): Build your answer using the quotient (7) as the whole number and the remainder (4) as the numerator, keeping the same denominator (5): Convert the mixed number 5-1/4 to an improper fraction. { Convert \(3\frac{5}{7}\) to an improper fraction. } To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Lets look at the fraction \(\frac{3}{4}\) as an example. Mr. Jones orders sub sandwiches for his sons basketball team. }. But, for everyday use, people understand mixed fractions better. { Converting improper fractions to mixed numbers, Converting mixed numbers to improper fractions. Review how to rewrite mixed numbers as improper fractions and improper fractions as mixed numbers. Members skip ads and access exclusive features. { Then put the result over the denominator. Dummies has always stood for taking on complex concepts and making them easy to understand. The correct answer is C: \(\frac{7}{3}\). Well it is the same as a whole, but it is written as a fraction, so most people agree it is a type of improper fraction. Multiply the whole number part by the fraction's denominator. Express the mixed number \(2\frac{1}{3}\) as an improper fraction. AnImproper Fraction has a top number ", Before we dive in, lets review the basic parts of a fraction. Mixed numbers and improper fractions show the same amount, but as a mixed number, the parts are collected and consolidated into as many groups of 1 whole as possible. If she runs six miles, how much water will she drink? Donate or volunteer today! To do this, multiply the whole number by the denominator of the fraction. Mark is also author of several other successful For Dummies books.

","_links":{"self":"https://dummies-api.dummies.com/v2/authors/9399"}}],"primaryCategoryTaxonomy":{"categoryId":33722,"title":"Basic Math","slug":"basic-math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33722"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Sample questions","target":"#tab1"},{"label":"Practice questions","target":"#tab2"}],"relatedArticles":{"fromBook":[],"fromCategory":[{"articleId":291491,"title":"Teaching Your Kids New Math (K-5) For Dummies Cheat Sheet","slug":"teaching-your-kids-new-math-k-5-for-dummies-cheat-sheet","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/291491"}},{"articleId":253710,"title":"Pre-Algebra Practice Questions: Comparing Fractions Using Cross-Multiplication","slug":"pre-algebra-practice-questions-comparing-fractions-using-cross-multiplication","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/253710"}},{"articleId":249996,"title":"Pre-Algebra Practice Questions: Solving Simple Algebraic Equations","slug":"pre-algebra-practice-questions-solving-simple-algebraic-equations","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249996"}},{"articleId":249986,"title":"Pre-Algebra Practice Questions: Isolating x in an Equation","slug":"pre-algebra-practice-questions-isolating-x-equation","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249986"}},{"articleId":249980,"title":"Pre-Algebra Practice Questions: Rearranging Equations to Isolate x","slug":"pre-algebra-practice-questions-rearranging-equations-isolate-x","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249980"}}]},"hasRelatedBookFromSearch":true,"relatedBook":{"bookId":281978,"slug":"basic-math-pre-algebra-for-dummies-2nd-edition","isbn":"9781119293637","categoryList":["academics-the-arts","math","basic-math"],"amazon":{"default":"https://www.amazon.com/gp/product/1119293634/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119293634/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119293634-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119293634/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119293634/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://catalogimages.wiley.com/images/db/jimages/9781119293637.jpg","width":250,"height":350},"title":"Basic Math & Pre-Algebra For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"\n

Mark Zegarelli is an instructor and math and test prep tutor in New Jersey. Then, the number of times the denominator fits into the numerator becomes the whole number part of the mixed number, and the number left over is the numerator of the fractional part over the original denominator.Ex. \(2\frac{1}{3}\) is equivalent to \(\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}\). Convert the improper fraction 13/4 to a mixed number. We know that \(\frac{3}{3}\) is equal to 1, so lets group 3 of these thirds together. 1 because \(17-16=1\) this becomes the numerator of the fractional part3) \(\frac{17}{4}=4\frac{1}{4}\). Then build a mixed number: The remainder is the numerator of the fraction. { by Mometrix Test Preparation | This Page Last Updated: June 7, 2022. \(\frac{5}{3}\) can be thought of as \(\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\frac{1}{3}\).

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