# SBP-Program

## Rules for dividing fractions with negative numbers

Rules for dividing fractions with negative numbers explanation.

### Easy rule for dividing fractions with negative numbers

Rules for dividing fractions with negative numbers:

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 negative numbers

Problem: Divide two fractions with negative numbers

9 -36 ÷ 41 205

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

The divisor is -36/205. Turn it upside down to get its reciprocal:

-36 205 the reciprocal for is 205 -36

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

The dividend is 9/41. Multiply the dividend by the reciprocal 205/(-36):

9 205 * = 41 (-36)
9 * 205 1845 = - 41 * (-36) 1476

3. Simplify the answer.

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

 1845 - = 1476
 5 * 369 - = 4 * 369
 5 * 369 - = 4 * 369
 5 1 - = - 1 4 4

The answer is:

9 -36 1 ÷ = - 1 41 205 4