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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.

See Reciprocal fractions.

Example of dividing fractions with negative numbers

Problem: Divide two fractions with negative numbers

9 ÷ -36
41205

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

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

the reciprocal for -36 is 205
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 = - 11
44

The answer is:

9 ÷ -36 = - 11
412054