Solve 10-7/8-frac{4{3}}

$$10 - \frac { 7 } { 8 - \frac { 4 } { 3 } }$$

Evaluate

$$\frac{179}{20}=8.95$$

Solution Steps

Convert 8 to fraction \frac{24}{3}.

$$10-\frac{7}{\frac{24}{3}-\frac{4}{3}}$$

Since \frac{24}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$10-\frac{7}{\frac{24-4}{3}}$$

Subtract 4 from 24 to get 20.

$$10-\frac{7}{\frac{20}{3}}$$

Divide 7 by \frac{20}{3} by multiplying 7 by the reciprocal of \frac{20}{3}.

$$10-7\times \frac{3}{20}$$

Express 7\times \frac{3}{20} as a single fraction.

$$10-\frac{7\times 3}{20}$$

Multiply 7 and 3 to get 21.

$$10-\frac{21}{20}$$

Convert 10 to fraction \frac{200}{20}.

$$\frac{200}{20}-\frac{21}{20}$$

Since \frac{200}{20} and \frac{21}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{200-21}{20}$$

Subtract 21 from 200 to get 179.

$$\frac{179}{20}$$

Factor

$$\frac{179}{2 ^ {2} \cdot 5} = 8\frac{19}{20} = 8.95$$