# SBP-Program

## 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.

### Example of dividing fractions with variables

Problem: Divide two fractions with variables

4a 16a ÷ 19 57

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

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

16a 57 the reciprocal for is 57 16a

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 * = 19 16a
4a * 57 228a = 19 * 16a 304a

3. Simplify the answer.

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

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

The answer is:

4a 16a 3 ÷ = 19 57 4