Solve 377/16-297/8=

$$37 \frac { 7 } { 16 } - 29 \frac { 7 } { 8 } =$$

Evaluate

$$\frac{121}{16}=7.5625$$

Solution Steps

Multiply 37 and 16 to get 592.

$$\frac{592+7}{16}-\frac{29\times 8+7}{8}$$

Add 592 and 7 to get 599.

$$\frac{599}{16}-\frac{29\times 8+7}{8}$$

Multiply 29 and 8 to get 232.

$$\frac{599}{16}-\frac{232+7}{8}$$

Add 232 and 7 to get 239.

$$\frac{599}{16}-\frac{239}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{599}{16} and \frac{239}{8} to fractions with denominator 16.

$$\frac{599}{16}-\frac{478}{16}$$

Since \frac{599}{16} and \frac{478}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{599-478}{16}$$

Subtract 478 from 599 to get 121.

$$\frac{121}{16}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {4}} = 7\frac{9}{16} = 7.5625$$