How do you simplify 3/2 div 332÷3?

1 Answer
Jul 16, 2016

1/212

Explanation:

The usual way to divide with fractions is to multiply by the reciprocal.

3/2 div 3" "32÷3 actually means 3/2 div 3/132÷31

Write this as 3/2 xx 1/332×13

Now proceed as for multiplying with fractions:

Cancel if you can , then (" top x top")/(" bottom x bottom") top x top bottom x bottom

cancel3/2 xx 1/cancel3 = 1/2

Or

3/2 xx 1/3 = 3/6 = 1/2

Or, as long as BOTH the numerator and denominator divide exactly, you can just divide:

(" top ÷ top")/(" bottom ÷ bottom")

3/2 div 3/1 = (3÷3)/(2÷ 1) = 1/2