Solve 93/8-27/16

$$9 \frac { 3 } { 8 } - 2 \frac { 7 } { 16 }$$

Evaluate

$$\frac{111}{16}=6.9375$$

Solution Steps

Multiply 9 and 8 to get 72.

$$\frac{72+3}{8}-\frac{2\times 16+7}{16}$$

Add 72 and 3 to get 75.

$$\frac{75}{8}-\frac{2\times 16+7}{16}$$

Multiply 2 and 16 to get 32.

$$\frac{75}{8}-\frac{32+7}{16}$$

Add 32 and 7 to get 39.

$$\frac{75}{8}-\frac{39}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{75}{8} and \frac{39}{16} to fractions with denominator 16.

$$\frac{150}{16}-\frac{39}{16}$$

Since \frac{150}{16} and \frac{39}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{150-39}{16}$$

Subtract 39 from 150 to get 111.

$$\frac{111}{16}$$

Factor

$$\frac{3 \cdot 37}{2 ^ {4}} = 6\frac{15}{16} = 6.9375$$