Divide: 5/8 : 3/4 = 5/8 · 4/3 = 5 · 4/8 · 3 = 20/24 = 4 · 5 /4 · 6 = 5/6
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 3/
4 is 4/3) 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 5/6.
In words - five eighths divided by three quarters = five sixths.
