Solve 43/6-17/8=

$$4 \frac { 3 } { 6 } - 1 \frac { 7 } { 8 } =$$

Evaluate

$$\frac{21}{8}=2.625$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{24+3}{6}-\frac{1\times 8+7}{8}$$

Add 24 and 3 to get 27.

$$\frac{27}{6}-\frac{1\times 8+7}{8}$$

Reduce the fraction \frac{27}{6} to lowest terms by extracting and canceling out 3.

$$\frac{9}{2}-\frac{1\times 8+7}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{9}{2}-\frac{8+7}{8}$$

Add 8 and 7 to get 15.

$$\frac{9}{2}-\frac{15}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{9}{2} and \frac{15}{8} to fractions with denominator 8.

$$\frac{36}{8}-\frac{15}{8}$$

Since \frac{36}{8} and \frac{15}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-15}{8}$$

Subtract 15 from 36 to get 21.

$$\frac{21}{8}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {3}} = 2\frac{5}{8} = 2.625$$