Solve 6*2/3-85/8

$$6 \cdot \frac { 2 } { 3 } - 8 \frac { 5 } { 8 }$$

Evaluate

$$-\frac{37}{8}=-4.625$$

Solution Steps

Express 6\times \frac{2}{3} as a single fraction.

$$\frac{6\times 2}{3}-\frac{8\times 8+5}{8}$$

Multiply 6 and 2 to get 12.

$$\frac{12}{3}-\frac{8\times 8+5}{8}$$

Divide 12 by 3 to get 4.

$$4-\frac{8\times 8+5}{8}$$

Multiply 8 and 8 to get 64.

$$4-\frac{64+5}{8}$$

Add 64 and 5 to get 69.

$$4-\frac{69}{8}$$

Convert 4 to fraction \frac{32}{8}.

$$\frac{32}{8}-\frac{69}{8}$$

Since \frac{32}{8} and \frac{69}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-69}{8}$$

Subtract 69 from 32 to get -37.

$$-\frac{37}{8}$$

Factor

$$-\frac{37}{8} = -4\frac{5}{8} = -4.625$$