Solve 63/8-55/7

$$6 \frac { 3 } { 8 } - 5 \frac { 5 } { 7 }$$

Evaluate

$$\frac{37}{56}\approx 0.660714286$$

Solution Steps

Multiply 6 and 8 to get 48.

$$\frac{48+3}{8}-\frac{5\times 7+5}{7}$$

Add 48 and 3 to get 51.

$$\frac{51}{8}-\frac{5\times 7+5}{7}$$

Multiply 5 and 7 to get 35.

$$\frac{51}{8}-\frac{35+5}{7}$$

Add 35 and 5 to get 40.

$$\frac{51}{8}-\frac{40}{7}$$

Least common multiple of 8 and 7 is 56. Convert \frac{51}{8} and \frac{40}{7} to fractions with denominator 56.

$$\frac{357}{56}-\frac{320}{56}$$

Since \frac{357}{56} and \frac{320}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{357-320}{56}$$

Subtract 320 from 357 to get 37.

$$\frac{37}{56}$$

Factor

$$\frac{37}{2 ^ {3} \cdot 7} = 0.6607142857142857$$