# Multiplying Fractions

Multiplying fractions is different than adding and subtracting fractions in that it is not necessary to have common denominators. There are some other things to be aware of,however.

To multiply two fractions, one simply multiplies the numerator of one fraction by the numerator of the other fraction and then multiplies the denominator of one fraction by the denominator of the other fraction. One should also reduce the final answer if possible.

The following is a very simple multiplication of fractions. Notice that the answer is a smaller fraction than the two fractions that it was multiplied by. This makes sense when one realizes that the problem is to find one half of one half - which is one fourth.

### One fourth of the whole.

To multiply a mixed number, one must convert the mixed number to an improper fraction. This is true if one is multiplying two mixed numbers together or a mixed number and a fraction. The example below shows a mixed number one and one half times one half or one and one half split in half.

### One of those halves is equal to three fourths.

Cross Cancellation:

In order to avoid multiplying large numbers and then reducing them, one can do some "pre=reducing" called cross cancellation. The example below shows how.

• The numerator of the first fraction, five sixths, can be cross cancelled with the denominator of the second fraction, two fifths by dividing five into both numbers. They are both in red.
• The denominator of the first fraction and the numeratof of the second fraction can both be cross cancelled by dividing them by two.
• The revised numerators can then be multiplied. In this case one times one equals one.
• The revised denominators can then be multiplied. In this case one times three is three.
• The final answer is one third.

### 3

Multiplying Fractions Videos

 Fractions Main Page Types of Fractions Equal Fractions Adding Fractions Subtracting Fractions Multiplying Fractions Dividing Fractions Factors