Reciprocals

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Reciprocals are used when dividing fractions and mixed numbers. You must multiply by the reciprocal of the second fraction when dividing. A reciprocal is the inverse of a fraction. The means to change places with the numerator and denominator.

Example 1: Find the reciprocal of 3/5

The reciprocal of 3/5 is 5/3 since all you have to do is reverse the numerator and denominator. Leave the fraction improper and do not change it to a mixed number since all you want is the reciprocal.

Example 2: Find the reciprocal of 1 and 2/3

First 1 and 2/3 must be changed to an improper fraction.

Multiply the denominator and whole number together. This means 3 x 1 = 3. Then add the numerator 3 + 2 = 5. Then put over the denominator 5 / 3. You should have went in a complete circle.

To get the reciprocal just flip the numerator and denominator. The reciprocal of 5/3 is 3/5.

Example 3: Find the reciprocal of the whole number 4

Just make 4 improper by putting 4 over 1. Then reverse the numerator and denominator. The reciprocal of 4 is 1/4.

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