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How to Divide Fractions by Integers

February 4, 2024 by admin Category: How To

You are viewing the article How to Divide Fractions by Integers  at Tnhelearning.edu.vn you can quickly access the necessary information in the table of contents of the article below.

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This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

This article has been viewed 11,520 times.

Dividing fractions by an integer is not difficult. To divide a fraction by an integer, you simply convert the integer to a fraction, find the reciprocal of that fraction, and multiply by the first fraction. This wikiHow teaches you how.

Table of Contents

  • Steps
  • Advice
  • Warning

Steps

Image titled Divide Fractions by a Whipe Number Step 1

Image titled Divide Fractions by a Whipe Number Step 1

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Rewrite the topic. The first step when dividing fractions by integers is to rewrite the problem. For example, calculate 2/3 4. [1] X Research Source
Image titled Divide Fractions by a Whipe Number Step 2

Image titled Divide Fractions by a Whipe Number Step 2

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Convert integers to fractions. To write an integer as a fraction, you simply divide it by 1. The integer becomes the numerator and 1 is the denominator of the fraction. We have 4/1 = 4, the value of the integer remains unchanged. The problem becomes 2/3 ÷ 4/1. [2] X Research Source
Image titled Divide Fractions by a Whipe Number Step 3

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Image titled Divide Fractions by a Whipe Number Step 3

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Division of fractions by fractions is similar to multiplying the first fraction by the reciprocal of the second fraction.
Image titled Divide Fractions by a Whipe Number Step 4

Image titled Divide Fractions by a Whipe Number Step 4

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Write the reciprocal of the integer. To find the reciprocal of a number, you simply reverse the positions of the numerator and denominator. So the reciprocal of 4/1 is 1/4. [3] X Research Sources
Image titled Divide Fractions by a Whipe Number Step 5

Image titled Divide Fractions by a Whipe Number Step 5

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Change the division sign to the multiplication sign. The problem will now be 2/3 x 1/4. [4] X Research Sources
Image titled Divide Fractions by a Whipe Number Step 6

Image titled Divide Fractions by a Whipe Number Step 6

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Multiply the numerator and denominator of the fractions. Now you just need to multiply the numerators of the two fractions together, then multiply the denominators of the two fractions to get the final answer. [5] X Research Sources

  • Multiply the numerators: 2 x 1 = 2.
  • Continue multiplying the denominators: 3 x 4 = 12.
  • 2/3 x 1/4 = 2/12
  • Image titled Divide Fractions by a Whipe Number Step 7

    Image titled Divide Fractions by a Whipe Number Step 7

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    Simplify fractions. To reduce fractions, you need to find the least common denominator by dividing the numerator and denominator by a common divisor. In this example, we have 2 as the numerator, it is easy to see that 2 is the common divisor of 2 and 12. Continue dividing the numerator and denominator by 2 to get a new fraction. This is the final answer to the problem. [6] X Research Sources

    • 2 2 = 1
    • 12 2 = 6
    • So the fraction 2/12 can be reduced to 1/6. This is the final answer.
  • Advice

    • Here’s a frog poem that’s easy to memorize: “Dividing fractions is as easy as eating apples, just invert the second number and multiply.”
    • Another variation of the above poem is: “Keeping the fraction being divided, reverse the fraction called the divisor. The division converts to the multiplication. Factor, multiply the denominator, that’s all.”
    • If you cross-reduce before multiplying, you probably won’t have to reduce the answer because the terms are already minimized. In the example of the article, before proceeding to multiply 2/3 × 1/4, it is easy to see that the first numerator (2) and the second denominator (4) have a common divisor of 2 so you can draw concise first. Now the problem will become 1/3 × 1/2, you can immediately calculate the result 1/6 and save time in reducing the fraction in the last step.
    • You should reduce the cross before multiplying instead of reducing the result at the end.
    • If either fraction is negative, you can still apply this method. It is important to follow and place the correct sign throughout the problem.
    • Summary of steps to divide fractions by integers: Keep fractions the same. Change the division sign to multiply. Convert integers to fractions by dividing by 1. Find the reciprocal of the second fraction. Calculate the result. Shorten the answer if not minimalist.
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    Warning

    • Just inverse the second fraction or divisor. Do not inverse the first number because this is the divisor. In the example, we have inverted 4/1 to 1/4, while keeping 2/3, not converting to 3/2.
    X

    This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

    This article has been viewed 11,520 times.

    Dividing fractions by an integer is not difficult. To divide a fraction by an integer, you simply convert the integer to a fraction, find the reciprocal of that fraction, and multiply by the first fraction. This wikiHow teaches you how.

    Thank you for reading this post How to Divide Fractions by Integers at Tnhelearning.edu.vn You can comment, see more related articles below and hope to help you with interesting information.

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