Solve 73/8-81/7

$$7 \frac { 3 } { 8 } - 8 \frac { 1 } { 7 }$$

Evaluate

$$-\frac{43}{56}\approx -0.767857143$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+3}{8}-\frac{8\times 7+1}{7}$$

Add 56 and 3 to get 59.

$$\frac{59}{8}-\frac{8\times 7+1}{7}$$

Multiply 8 and 7 to get 56.

$$\frac{59}{8}-\frac{56+1}{7}$$

Add 56 and 1 to get 57.

$$\frac{59}{8}-\frac{57}{7}$$

Least common multiple of 8 and 7 is 56. Convert \frac{59}{8} and \frac{57}{7} to fractions with denominator 56.

$$\frac{413}{56}-\frac{456}{56}$$

Since \frac{413}{56} and \frac{456}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{413-456}{56}$$

Subtract 456 from 413 to get -43.

$$-\frac{43}{56}$$

Factor

$$-\frac{43}{56} = -0.7678571428571429$$