Theory

Divide fractions

To divide fractions, the numerator is multiplied by the reciprocal of the denominator. This converts the division to an equivalent multiplication. .4 /5./.3 /7.=4/5* 7/3 This rule can be proven by expanding with the reciprocal of the denominator. .4 /5./.3 /7.=.4 /5./.3 /7.* .7 /3./.7 /3. This can now be simplified by performing the multiplications.

.4 /5./.3 /7.* .7 /3./.7 /3.
.4 /5.* .7 /3./.3 /7.* .7 /3.
4/5* 7/3/3/7* 7/3
4/5* 7/3/1
4/5* 7/3

Exercises
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