How to Multiply Fractions: A Step-by-Step Guide for Beginners

Multiplying Fractions: A Step-by-Step Guide

Multiplying fractions is a straightforward process that involves a few simple steps. Here’s how to do it:

Step 1: Understand the Components of a Fraction

A fraction consists of two parts: the numerator (the top number) and the denominator (the bottom number). For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.

Step 2: Multiply the Numerators

To multiply two fractions, start by multiplying their numerators together. For example, if you want to multiply 2/3 and 4/5, you would multiply:

2 x 4 = 8

Step 3: Multiply the Denominators

Next, multiply the denominators of the two fractions:

3 x 5 = 15

Step 4: Form the New Fraction

Now, put the results from Step 2 and Step 3 together to create a new fraction:

8/15

Step 5: Simplify the Fraction (if possible)

If the resulting fraction can be simplified, do so by finding the greatest common divisor (GCD) of the numerator and denominator. In our example, 8/15 cannot be simplified further, so our final answer remains 8/15.

Example Problem

Let’s look at another example:

Multiply 1/2 and 3/4.

1. Multiply the numerators: 1 x 3 = 3
2. Multiply the denominators: 2 x 4 = 8
3. Combine the results: 3/8
4. Simplification: 3/8 cannot be simplified.

The final answer is 3/8.

Conclusion

Multiplying fractions is easy once you get the hang of it! Just remember to multiply the numerators together, multiply the denominators together, and then simplify your answer if possible.