Solve 3(2a/8)-2(17/16)

$$3 ( \frac { 2 a } { 8 } ) - 2 ( \frac { 17 } { 16 } )$$

Evaluate

$$\frac{3a}{4}-\frac{17}{8}$$

Solution Steps

Divide 2a by 8 to get \frac{1}{4}a.

$$3\times \frac{1}{4}a-2\times \frac{17}{16}$$

Multiply 3 and \frac{1}{4} to get \frac{3}{4}.

$$\frac{3}{4}a-2\times \frac{17}{16}$$

Express 2\times \frac{17}{16} as a single fraction.

$$\frac{3}{4}a-\frac{2\times 17}{16}$$

Multiply 2 and 17 to get 34.

$$\frac{3}{4}a-\frac{34}{16}$$

Reduce the fraction \frac{34}{16} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}a-\frac{17}{8}$$

Factor

$$\frac{6a-17}{8}$$

Solution Steps

Factor out \frac{1}{8}.

$$\frac{6a-17}{8}$$