Solve 2(36/6)+2(7/10)

$$2( 3 \frac { 6 } { 6 } )+2( \frac{ 7 }{ 10 } )$$

Evaluate

$$\frac{47}{5}=9.4$$

Solution Steps

Multiply 3 and 6 to get 18.

$$2\times \frac{18+6}{6}+2\times \frac{7}{10}$$

Add 18 and 6 to get 24.

$$2\times \frac{24}{6}+2\times \frac{7}{10}$$

Divide 24 by 6 to get 4.

$$2\times 4+2\times \frac{7}{10}$$

Multiply 2 and 4 to get 8.

$$8+2\times \frac{7}{10}$$

Express 2\times \frac{7}{10} as a single fraction.

$$8+\frac{2\times 7}{10}$$

Multiply 2 and 7 to get 14.

$$8+\frac{14}{10}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$8+\frac{7}{5}$$

Convert 8 to fraction \frac{40}{5}.

$$\frac{40}{5}+\frac{7}{5}$$

Since \frac{40}{5} and \frac{7}{5} have the same denominator, add them by adding their numerators.

$$\frac{40+7}{5}$$

Add 40 and 7 to get 47.

$$\frac{47}{5}$$

Factor

$$\frac{47}{5} = 9\frac{2}{5} = 9.4$$