How To Multiply Fractions

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Doing math with fractions can be tricky and the concept of multiplying them can be even more confusing. The process for multiplying fractions is surprisingly simple, however, and this guide will provide you with a step-by-step explanation of how to get it done.

Step 1: Find the Product of the Numerators

The first step is to identify the numerators of each fraction. A numerator is the top half of a fraction, so in the fraction 2/3, the numerator is 2. Once you’ve identified the numerators of both fractions, multiply the two numbers together, and this will be the numerator of the product fraction.

So for example, if you are multiplying the fraction 2/3 with the fraction 4/5, you would start by finding the product of the numerators. This is simple multiplication: 2 multiplied by 4 is 8, so the numerator of the product fraction is 8.

Step 2: Find the Product of the Denominators

The next step is to find the product of the denominators, which are the bottom halves of the fractions. In each fraction, the denominator tells you how many pieces the whole is split into. For example, if the fraction is 4/5, it means that the whole is split into 5 pieces and the fraction is 4 of those pieces.

In the example from Step 1, we were multiplying the fractions 2/3 and 4/5. So, to find the product of the denominators, we multiply 3 and 5. The denominator of the product fraction is 15.

Step 3: Create the Product Fraction

Now that we have identified the numerator and denominator of the product fraction, we can create it by combining them. In this example, the product fraction would be 8/15.

Step 4: Simplify the Product Fraction (Optional)

If desired, you can simplify your product fraction by factoring out any common numbers between the numerator and denominator. In this example, 8 can be factored into 4 and 2, and 15 can be factored into 5 and 3. Since 4 and 2 share the common factor of 2, we can factor that out of the fraction and the fraction simplifies to 4/30.

And that’s it! That is the simple process for multiplying fractions. With practice and a little patience, you’ll be able to quickly and accurately multiply fractions in no time.