Solve 4/7-9(4/7)-3/2

$$\frac { 4 } { 7 } - \frac { 9 ( \frac { 4 } { 7 } ) - 3 } { 2 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Express 9\times \frac{4}{7} as a single fraction.

$$\frac{4}{7}-\frac{\frac{9\times 4}{7}-3}{2}$$

Multiply 9 and 4 to get 36.

$$\frac{4}{7}-\frac{\frac{36}{7}-3}{2}$$

Convert 3 to fraction \frac{21}{7}.

$$\frac{4}{7}-\frac{\frac{36}{7}-\frac{21}{7}}{2}$$

Since \frac{36}{7} and \frac{21}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{7}-\frac{\frac{36-21}{7}}{2}$$

Subtract 21 from 36 to get 15.

$$\frac{4}{7}-\frac{\frac{15}{7}}{2}$$

Express \frac{\frac{15}{7}}{2} as a single fraction.

$$\frac{4}{7}-\frac{15}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$\frac{4}{7}-\frac{15}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{4}{7} and \frac{15}{14} to fractions with denominator 14.

$$\frac{8}{14}-\frac{15}{14}$$

Since \frac{8}{14} and \frac{15}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-15}{14}$$

Subtract 15 from 8 to get -7.

$$\frac{-7}{14}$$

Reduce the fraction \frac{-7}{14} to lowest terms by extracting and canceling out 7.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$