Solve 7(2(7/10)+3)-8(7/70)(7/70)

$$7 ( 2 ( \frac { 7 } { 10 } ) + 3 ) - 8 ( \frac { 7 } { 70 } ) ( \frac { 7 } { 70 } )$$

Evaluate

$$\frac{768}{25}=30.72$$

Solution Steps

Multiply \frac{7}{70} and \frac{7}{70} to get \left(\frac{7}{70}\right)^{2}.

$$7\left(2\times \frac{7}{10}+3\right)-8\times \left(\frac{7}{70}\right)^{2}$$

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

$$7\left(\frac{2\times 7}{10}+3\right)-8\times \left(\frac{7}{70}\right)^{2}$$

Multiply 2 and 7 to get 14.

$$7\left(\frac{14}{10}+3\right)-8\times \left(\frac{7}{70}\right)^{2}$$

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

$$7\left(\frac{7}{5}+3\right)-8\times \left(\frac{7}{70}\right)^{2}$$

Convert 3 to fraction \frac{15}{5}.

$$7\left(\frac{7}{5}+\frac{15}{5}\right)-8\times \left(\frac{7}{70}\right)^{2}$$

Since \frac{7}{5} and \frac{15}{5} have the same denominator, add them by adding their numerators.

$$7\times \frac{7+15}{5}-8\times \left(\frac{7}{70}\right)^{2}$$

Add 7 and 15 to get 22.

$$7\times \frac{22}{5}-8\times \left(\frac{7}{70}\right)^{2}$$

Express 7\times \frac{22}{5} as a single fraction.

$$\frac{7\times 22}{5}-8\times \left(\frac{7}{70}\right)^{2}$$

Multiply 7 and 22 to get 154.

$$\frac{154}{5}-8\times \left(\frac{7}{70}\right)^{2}$$

Reduce the fraction \frac{7}{70} to lowest terms by extracting and canceling out 7.

$$\frac{154}{5}-8\times \left(\frac{1}{10}\right)^{2}$$

Calculate \frac{1}{10} to the power of 2 and get \frac{1}{100}.

$$\frac{154}{5}-8\times \frac{1}{100}$$

Multiply 8 and \frac{1}{100} to get \frac{8}{100}.

$$\frac{154}{5}-\frac{8}{100}$$

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$\frac{154}{5}-\frac{2}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{154}{5} and \frac{2}{25} to fractions with denominator 25.

$$\frac{770}{25}-\frac{2}{25}$$

Since \frac{770}{25} and \frac{2}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{770-2}{25}$$

Subtract 2 from 770 to get 768.

$$\frac{768}{25}$$

Factor

$$\frac{2 ^ {8} \cdot 3}{5 ^ {2}} = 30\frac{18}{25} = 30.72$$