Multiplying fractions calculator

This Multiplying Fractions calculator allows you to multiply fractions to find the product. You input the numerator and denominator of each fraction and the calculator computes the product of the fractions.

The process of multiplying fractions is to multiply the numerators of the fractions together to find the numerator of the product, and then multiply the denominators of the fractions together to find the denominator of the product. The resulting fraction is then simplified, if possible.

You can also have the option to add whole numbers.







How to multiply fractions

To multiply fractions, you need to follow these steps:

1. Multiply the numerators (the top numbers) of the two fractions together.
For example, if you want to multiply the fractions 1/2 and 3/4, you would multiply 1 * 3 = 3.

2. Multiply the denominators (the bottom numbers) of the two fractions together.
For example, if you want to multiply the fractions 1/2 and 3/4, you would multiply 2 * 4 = 8.

3. The result of step 1 and 2 is the numerator and denominator of the product fraction.
So in the example, the product fraction is 3/8.

4. Simplify the result, if possible.
For example, the fraction 3/8 can be simplified to 3/8 = 3/8 * 1/1 = 3/8.

Here's another example:

To multiply the fractions 3/5 and 4/7, follow the steps:

  1. Multiply the numerators: 3 * 4 = 12.
  2. Multiply the denominators: 5 * 7 = 35.
  3. The product fraction is 12/35.
  4. Simplify the result, if possible: 12/35 = 12/35 * 1/1 = 4/15.

So the result of multiplying the fractions 3/5 and 4/7 is 4/15.

Multiplying mixed fractions

A mixed fraction is a whole number combined with a fraction, such as 3 1/2. To multiply mixed fractions, follow these steps:

  1. Convert the mixed fraction to an improper fraction: Multiply the whole number by the denominator of the fraction, add the numerator, and place the result over the denominator. In the example 3 1/2, the improper fraction would be 7/2.
  2. Multiply the numerators of the two fractions to get the numerator of the product fraction.
  3. Multiply the denominators of the two fractions to get the denominator of the product fraction.
  4. Simplify the product fraction, if possible.

For example, to find 3 1/2 x 2 1/4, we would convert both mixed fractions to improper fractions (7/2 and 9/4), multiply the numerators (7 x 9) and denominators (2 x 4), and simplify the result (63/8).