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Multiplying fractions by integers is an essential skill in mathematics that allows us to solve a variety of real-life problems. Whether you are calculating the cost of ingredients for a recipe, determining a discount on a shopping item, or even finding the total distance traveled on a road trip, multiplying fractions by integers is a fundamental operation that we encounter in everyday situations. In this guide, we will explore the step-by-step process of multiplying fractions by integers, providing clear explanations and practical examples to help you master this mathematical concept. So let’s dive in and discover how to multiply fractions by integers with confidence!
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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.
- 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.
- 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.
- 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 may seem intimidating at first, but understanding a few simple principles can make it much easier. By converting the integer into a fraction by placing it over a denominator of 1, we can easily multiply the fractions using the same principles we use for multiplying any two fractions. The resulting fraction can then be simplified, if necessary, to its lowest terms. This skill is not only useful in mathematics, but also in various real-life situations where fractions and integers coexist. With practice, anyone can become proficient in multiplying fractions by integers and confidently tackle any problem that involves this operation.
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