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Multiplying fractions by integers can sometimes seem complex and confusing. However, once you understand the underlying concepts and techniques, it becomes a straightforward and manageable process. In this guide, we will explore the steps and strategies involved in multiplying fractions by integers. We will break down the process into simple, easy-to-follow steps, providing examples and explanations along the way. By the end of this guide, you will have a solid understanding of how to multiply fractions by integers and will be able to confidently solve related problems. So let’s dive in and unlock the secrets of multiplying fractions by integers!

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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.

**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.

**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.

**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.

**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.

This article is co-authored by a team of editors and trained researchers who confirm the accuracy and completeness of the article.

The wikiHow Content Management team carefully monitors the work of editors to ensure that every article is up to a high standard of quality.

This article has been viewed 112,404 times.

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.

In conclusion, multiplying fractions by integers is a simple process that can be accomplished by following a few basic steps. By converting the integer to a fraction with a denominator of 1, we can easily multiply it with the numerator of the fraction, keeping the denominator the same. This allows us to effectively multiply the two numbers together and simplify if necessary. Understanding this concept is crucial for solving various real-life problems that involve fractions and integers, such as scaling and recipe conversions. With practice and familiarity, multiplying fractions by integers becomes second nature, enabling us to accurately and efficiently solve mathematical problems involving these types of numbers. Therefore, mastering this skill is an essential component of a solid mathematical foundation.

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