SBP-Program

f

tw

in

Rules for dividing fractions with variables

Rules for dividing fractions with variables explanation.

Easy rule for dividing fractions with variables

Rules for dividing fractions with variables:

1. Invert the second fraction (the divisor) to get its reciprocal;
2. Multiply the first fraction (the dividend) by the reciprocal;
3. Simplify the answer if possible.

See Reciprocal fractions.

Example of dividing fractions with variables

Problem: Divide two fractions with variables

4a ÷ 16a
1957

1. Invert the second fraction (the divisor) to get its reciprocal.

The divisor is 16a/57. Turn it upside down to get its reciprocal:

the reciprocal for 16a is 57
5716a

Note, 16a cannot be equal to zero.

2. Multiply the first fraction (the dividend) by the reciprocal.

The dividend is 4a/19. Multiply the dividend by the reciprocal 57/16a:

4a * 57 = 
1916a
4a * 57 = 228a
19 * 16a304a

3. Simplify the answer.

It is necessary to factor the numerator and denominator to reduce the fraction:

228a = 3 * 76a = 
304a4 * 76a
3 * 76a = 3
4 * 76a4

The answer is:

4a ÷ 16a = 3
19574