Divide: 2
6
: 2
4
= 2
6
· 4
2
= 2 · 4
6 · 2
= 8
12
= 4 · 2
4 · 3
= 2
3
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
4
is 4
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 4 gives 2
3
.
In words - two sixths divided by two quarters = two thirds.