Solve 2/3*3/4=2*3/3*4

$$\frac { 2 } { 3 } \times \frac { 3 } { 4 } = \frac { 2 \times 3 } { 3 \times 4 }$$

Verify

Solution Steps

Multiply \frac{2}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{3\times 4}=\frac{2\times 3}{3\times 4}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{4}=\frac{2\times 3}{3\times 4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}=\frac{2\times 3}{3\times 4}$$

Cancel out 2\times 3 in both numerator and denominator.

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

Compare \frac{1}{2} and \frac{1}{2}.

$$\text{true}$$