Solve (7/10)(11/7)(31/3)(2)=

$$( \frac { 7 } { 10 } ) ( \frac { 11 } { 7 } ) ( 3 \frac { 1 } { 3 } ) ( 2 ) =$$

Evaluate

$$\frac{22}{3}\approx 7.333333333$$

Solution Steps

Multiply \frac{7}{10} times \frac{11}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 11}{10\times 7}\times \frac{3\times 3+1}{3}\times 2$$

Cancel out 7 in both numerator and denominator.

$$\frac{11}{10}\times \frac{3\times 3+1}{3}\times 2$$

Multiply 3 and 3 to get 9.

$$\frac{11}{10}\times \frac{9+1}{3}\times 2$$

Add 9 and 1 to get 10.

$$\frac{11}{10}\times \frac{10}{3}\times 2$$

Multiply \frac{11}{10} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 10}{10\times 3}\times 2$$

Cancel out 10 in both numerator and denominator.

$$\frac{11}{3}\times 2$$

Express \frac{11}{3}\times 2 as a single fraction.

$$\frac{11\times 2}{3}$$

Multiply 11 and 2 to get 22.

$$\frac{22}{3}$$

Factor

$$\frac{2 \cdot 11}{3} = 7\frac{1}{3} = 7.333333333333333$$