# How do you find the product of 2/3 and 1 1/2?

Oct 2, 2014

Convert $1 \frac{1}{2}$ to an improper fraction.

$1 \frac{1}{2} = \left(2 \cdot 1\right) + 1 = 3 \to$ $\frac{3}{2} \cdot \frac{2}{3} = \frac{6}{6} = 1$

Keep the denominator, which is $2$.

$1 \frac{1}{2} = \frac{3}{2} \to$ Improper fraction

$\frac{3}{2} \cdot \frac{2}{3} = \frac{6}{6} = 1$

OR

Cross cancel

$\frac{3}{2} \cdot \frac{2}{3} = \frac{1}{1} \cdot \frac{1}{1} = \frac{1}{1} = 1$