Solve 3/5*21/2*4/6=

$$\frac { 3 } { 5 } \times 2 \frac { 1 } { 2 } \times \frac { 4 } { 6 } =$$

Evaluate

$$1$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{3}{5}\times \frac{4+1}{2}\times \frac{4}{6}$$

Add 4 and 1 to get 5.

$$\frac{3}{5}\times \frac{5}{2}\times \frac{4}{6}$$

Multiply \frac{3}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{5\times 2}\times \frac{4}{6}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3}{2}\times \frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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

Cancel out \frac{3}{2} and its reciprocal \frac{2}{3}.

$$1$$

Factor

$$1$$