Solve 3(-64/59)+8/8

$$\frac { 3 ( - \frac { 64 } { 59 } ) + 8 } { 8 }$$

Evaluate

$$\frac{35}{59}\approx 0.593220339$$

Solution Steps

Express 3\left(-\frac{64}{59}\right) as a single fraction.

$$\frac{\frac{3\left(-64\right)}{59}+8}{8}$$

Multiply 3 and -64 to get -192.

$$\frac{\frac{-192}{59}+8}{8}$$

Fraction \frac{-192}{59} can be rewritten as -\frac{192}{59} by extracting the negative sign.

$$\frac{-\frac{192}{59}+8}{8}$$

Convert 8 to fraction \frac{472}{59}.

$$\frac{-\frac{192}{59}+\frac{472}{59}}{8}$$

Since -\frac{192}{59} and \frac{472}{59} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-192+472}{59}}{8}$$

Add -192 and 472 to get 280.

$$\frac{\frac{280}{59}}{8}$$

Express \frac{\frac{280}{59}}{8} as a single fraction.

$$\frac{280}{59\times 8}$$

Multiply 59 and 8 to get 472.

$$\frac{280}{472}$$

Reduce the fraction \frac{280}{472} to lowest terms by extracting and canceling out 8.

$$\frac{35}{59}$$

Factor

$$\frac{5 \cdot 7}{59} = 0.5932203389830508$$