How to Multiply Fractions by Integers

Multiplying fractions by integers is easy if you know how to convert integers into fractions. To multiply fractions by integers, just follow these 4 simple steps below.

Table of Contents

Steps

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Convert integers to fractions. To write an integer as a fraction, you simply divide the integer by 1.

For example, to convert 5 to a fraction, write it as 5/1. In which, 5 is the numerator, 1 is the denominator; the value of the number remains the same.

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Multiply the numerators of two fractions together. Multiply the numerator of the first fraction by the numerator of the second fraction, and you get the numerator of the answer.

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Multiply the denominators of two fractions together. Similarly, take the denominator of the first fraction and multiply it by the denominator of the second, which is the denominator of the answer.

For example, to multiply the denominators of two fractions 5/1 and 8/10, you would calculate the product of 1 and 10. 1*10 = 10, so the denominator of the answer is 10.
After multiplying the numerator and denominator of both fractions together, your answer is a fraction with the new numerator and denominator. In this example, the result is 40/10.

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Simplify fractions. To reduce fractions, you must reduce fractions to fractional form. You can do this by dividing the numerator and denominator by a common divisor. In the example above, both 40 and 10 are divisible by 10. 40/10 = 4 and 10/10 = 1, so the new answer would be 4/1, or 4.

For example, if your answer is 4/6, you can divide both the numerator and the denominator by 2 to get a reduced result of 2/3.

Advice

Normally, if the problem is in mixed number, your answer must also be in mixed number, if the problem is in the form of a non-real fraction, your answer must be in the form of a real fraction or a real fraction. .
Put the integer before the fraction.
Depending on the final goal of the problem, you can convert fractions that are not real (fractions with larger numerators but not divisible by denominators, so they cannot be reduced to an integer). ) into real fractions or mixed numbers. For example, 10/4 can be reduced to 5/2 (after dividing both numerator and denominator by 2). You can leave it as 5/2 or change it to 2 1/2 depending on your preference.
We can do the same calculation with mixed numbers. First, convert the mixed number to a non-real fraction; then, do the multiplication as usual; Finally, reduce the fraction (or not) according to your teacher’s instructions or your needs.

Steps

Advice

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