Solve 21/2*4/5*6/9=

$$2 \frac { 1 } { 2 } \cdot \frac { 4 } { 5 } \cdot \frac { 6 } { 9 } =$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}\times \frac{4}{5}\times \frac{6}{9}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}\times \frac{4}{5}\times \frac{6}{9}$$

Multiply \frac{5}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{2\times 5}\times \frac{6}{9}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4}{2}\times \frac{6}{9}$$

Divide 4 by 2 to get 2.

$$2\times \frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

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

Express 2\times \frac{2}{3} as a single fraction.

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

Multiply 2 and 2 to get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$