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How to Convert a Whole Number to an Improper Fraction Download ArticleExplore this Article Steps Steps Other Sections Expert Q&A Related Articles Expert Interview References Co-authored by Grace Imson, MA
Last Updated: July 10, 2024
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This article was co-authored by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. This article has been viewed 112,854 times.
You probably know that you can easily convert a whole number to an "improper" fraction by expressing the whole number as a numerator and choosing 1 as the denominator. That would be a "reduced" improper fraction.[1]X Expert Source Grace Imson, MAMath Instructor, City College of San FranciscoExpert Interview It's also easy to convert a whole number to an unreduced improper fraction. Here's how:
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1 Express the whole number as a fraction and choose any fraction equal to 1. The whole number is the numerator, and 1 is the denominator. For example, if the whole number is 4, the numerator of the fraction is 4, and the denominator is 1.[2]X Expert Source Grace Imson, MAMath Instructor, City College of San FranciscoExpert Interview Thus, 4/1.[3]XResearch source A fraction is equivalent to 1 if its numerator is the same as its denominator. Examples are 3/3, 5/5, and 7/7. Set both fractions apart with a multiplication sign.
2 Multiply the whole number by the fractional equivalent of 1. Take the improper fraction chosen in Step 1 above. Multiply it by any fraction that equals 1.[4]X Expert Source Grace Imson, MAMath Instructor, City College of San FranciscoExpert Interview This does not change the value of the original improper fraction. For example, multiply 4/1 by 5/5 (numerator times numerator, and denominator times denominator). 4/1 multiplied by 5/5 equals 20/5. You now have an unreduced improper fraction with the value of 4.[5]XResearch source
Examples of improper fractions that equal 4 include 4/1, 8/2, 12/3, 16/4, 20/5 and 24/6. Note that in each fraction, the numerator is four times the denominator.
If the original whole number had been, for instance, 5 rather than 4, the numerator of an equivalent improper fraction would be five times the denominator.
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Question How do I properly multiply fractions? Grace Imson, MA Math Teacher Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. Grace Imson, MA Math Teacher Expert Answer To simplify the process of multiplying fractions, first multiply the numerators together to get the new numerator. Then, multiply the denominators together to find the new denominator. After obtaining the product, it's beneficial to simplify the resulting fraction by canceling out any common factors between the numerator and the denominator. By simplifying before multiplying, especially when dealing with larger numbers, you can work with smaller, more manageable numbers, which makes the calculation easier and reduces the likelihood of errors. Simplifying fractions not only streamlines the multiplication process but also aids in understanding the relationship between the numbers involved, ensuring accuracy and efficiency in mathematical operations. Thanks! We're glad this was helpful.Thank you for your feedback. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow Yes No Not Helpful 0 Helpful 3
Question How could I make 4 into an improper fraction? Community Answer Some examples of this would be 8/2, 12/3, and 16/4. Do this by using Steps 2 and 3 above. Thanks! We're glad this was helpful.Thank you for your feedback. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow Yes No Not Helpful 49 Helpful 33
Question How do you convert 15/6 into a whole number? Community Answer It will convert only into a mixed number, because 15 is not a multiple of 6. (18/6, for example, would convert into a whole number.) Thanks! We're glad this was helpful.Thank you for your feedback. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow Yes No Not Helpful 39 Helpful 19
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Thanks for reading our article! If you’d like to learn more about math, check out our in-depth interview with Grace Imson, MA.
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↑ Grace Imson, MA. Math Instructor, City College of San Francisco. Expert Interview
Co-authored by: Grace Imson, MA Math Teacher This article was co-authored by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. This article has been viewed 112,854 times. 8 votes - 30% Co-authors: 10Updated: July 10, 2024 Views: 112,854 Categories: Fractions
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Yes No Advertisement Cookies make wikiHow better. By continuing to use our site, you agree to our cookie policy. Co-authored by: Grace Imson, MA Math Teacher 8 votes - 30% Click a star to vote 30% of people told us that this article helped them. Co-authors: 10Updated: July 10, 2024 Views: 112,854
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Download Article Explore this Article Steps Steps Other Sections Expert Q&A Related Articles Expert Interview References Co-authored by Grace Imson, MA 
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Co-authored by: Grace Imson, MA Math Teacher This article was co-authored by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. This article has been viewed 112,854 times. 8 votes - 30% Co-authors: 10 Updated: July 10, 2024 Views: 112,854 Categories: Fractions 
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1 Express the whole number as a fraction and choose any fraction equal to 1. The whole number is the numerator, and 1 is the denominator. For example, if the whole number is 4, the numerator of the fraction is 4, and the denominator is 1.[2] Thus, 4/1.[3] A fraction is equivalent to 1 if its numerator is the same as its denominator. Examples are 3/3, 5/5, and 7/7. Set both fractions apart with a multiplication sign. 
2 Multiply the whole number by the fractional equivalent of 1. Take the improper fraction chosen in Step 1 above. Multiply it by any fraction that equals 1.[4] This does not change the value of the original improper fraction. For example, multiply 4/1 by 5/5 (numerator times numerator, and denominator times denominator). 4/1 multiplied by 5/5 equals 20/5. You now have an unreduced improper fraction with the value of 4.[5] 
Grace Imson, MA Math Teacher Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. 
Community Answer Some examples of this would be 8/2, 12/3, and 16/4. Do this by using Steps 2 and 3 above. Thanks! We're glad this was helpful. Thank you for your feedback. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow Yes No Not Helpful 49 Helpful 33 
Community Answer It will convert only into a mixed number, because 15 is not a multiple of 6. (18/6, for example, would convert into a whole number.) Thanks! We're glad this was helpful. Thank you for your feedback. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow Yes No Not Helpful 39 Helpful 19