Solve 3(3/17)-5/4(frac{3{3})+6}

$$\frac { 3 ( \frac { 3 } { 17 } ) - 5 } { 4 ( \frac { 3 } { 3 } ) + 6 }$$

Evaluate

$$-\frac{38}{85}\approx -0.447058824$$

Solution Steps

Divide 3 by 3 to get 1.

$$\frac{3\times \frac{3}{17}-5}{4\times 1+6}$$

Express 3\times \frac{3}{17} as a single fraction.

$$\frac{\frac{3\times 3}{17}-5}{4\times 1+6}$$

Multiply 3 and 3 to get 9.

$$\frac{\frac{9}{17}-5}{4\times 1+6}$$

Convert 5 to fraction \frac{85}{17}.

$$\frac{\frac{9}{17}-\frac{85}{17}}{4\times 1+6}$$

Since \frac{9}{17} and \frac{85}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9-85}{17}}{4\times 1+6}$$

Subtract 85 from 9 to get -76.

$$\frac{-\frac{76}{17}}{4\times 1+6}$$

Multiply 4 and 1 to get 4.

$$\frac{-\frac{76}{17}}{4+6}$$

Add 4 and 6 to get 10.

$$\frac{-\frac{76}{17}}{10}$$

Express \frac{-\frac{76}{17}}{10} as a single fraction.

$$\frac{-76}{17\times 10}$$

Multiply 17 and 10 to get 170.

$$\frac{-76}{170}$$

Reduce the fraction \frac{-76}{170} to lowest terms by extracting and canceling out 2.

$$-\frac{38}{85}$$

Factor

$$-\frac{38}{85} = -0.4470588235294118$$