Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/
6
is 6/
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 3/
2
.
In other words - one half divided by two sixths = three halfs.
Multiple: 1/
2
* 6/
2
= 1 · 6/
2 · 2
= 6/
4
= 3 · 2/
2 · 2
= 3/
2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 4) = 2. In the following intermediate step, cancel by a common factor of 2 gives 3/
2
.
In other words - one half multiplied by six halfs = three halfs.
Compare: the result of step No. 1 vs the result of step No. 2 = 3/
