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# Math: Basic Tutorials : Multiplying Fractions

## Multiplying Fractions

Multiplying fractions might look intimidating, but knowing how to go about it makes it a lot easier. This section goes step-by-step through the process of multiplying two fractions.

## Examples

### Examples

Click on the titles below to view each example.

Line 1: Multiply the following fractions and write your answer in simplified form: negative 5 over 8 times 2 over 3

Line 2: Multiply the numerators together, so the numerator is negative 5 times 2. Then multiply the denominators

together, so the denominator is 8 times 3. Note the signs of the fractions are opposite so the product will be negative.

Line 3. Simplify the numerator and denominator, so the fraction is negative 10 over 24.

Line 4: Look for common factors in the numerator and denominator. Rewrite the fraction showing the common factor of 2, so the numerator is written as negative 5 times 2 and the denominator is written as 12 times 2.

Line 5: Remove the common factor of 2 in the numerator and denominator so the final simplified fraction is negative 5 over 12.

Line 1: Multiply the following fractions and write the answer in simplified form: 3 and 1 over 3 times 5 over 8.

Line 2: Convert the mixed number to an improper fraction so the problem is written as 10 over 3 times 5 over 8.

Line 2: Multiply the numerators together, so the numerator is 10 times 5. Then multiply the denominators together, so the denominator is 3 times 8.

Line 4: Look for common factors in the numerator and denominator. Rewrite the fraction showing the common factor of 2, so the numerator is written as negative 2 times 5 times 5 and the denominator is written as 3 times 2 times 4.

Line 5: Remove the common factor of 2 in the numerator and denominator, and multiply the remaining factors, so the final simplified fraction is 25 over 12.

### Activity

Try this activity to test your skills. If you have trouble, check out the information in the module for help.