Why Do We Use Reciprocals

We use Reciprocals to divide fractions. Instead of dividing fractions we multiply them.

 So, say we have the problem 3/4 divided by 7/8, (but we don't know how to divide that yet.)

 So, we multiply the first number in this case it's 3. The second number we have to use the reciprocal of 7/8 so it would be 8/7. So, your problem is now 3/4 x 8/7 so 3 x 8 = 24.

So, that's your numerator 24 and your denominator 4 x 7 = 28.

 So, your fraction is 24/28 which now we have to simplify the number so your answer is 6/7 simplified.

 So you final answer is 6/7.

Reciprocals Practice Link

Reciprocal Lesson

Reciprocal Game