Solve: Finding the Missing Divisor in 3/4 ÷ ? = 3/2

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{3}{4} ÷ \frac{3}{2}$ becomes $\frac{3}{4} × \frac{2}{3}$, which is much easier to calculate!

Look at the position! In $\frac{3}{4} ÷ ? = \frac{3}{2}$, the divisor (the number you're dividing by) is missing. The dividend $\frac{3}{4}$ and quotient $\frac{3}{2}$ are given.

Yes! You can think of it as $\frac{3}{4} = \frac{3}{2} × ?$ and solve by dividing both sides by $\frac{3}{2}$. Both methods give the same answer!

Always simplify your fraction to lowest terms! $\frac{6}{12}$ simplifies to $\frac{1}{2}$ by dividing both numerator and denominator by 6.

Substitute your answer back into the original equation: $\frac{3}{4} ÷ \frac{1}{2}$ should equal $\frac{3}{2}$. Since $\frac{3}{4} × 2 = \frac{6}{4} = \frac{3}{2}$, it works!