Solve 134/7-quad73/8

$$13 \frac { 4 } { 7 } - \quad 7 \frac { 3 } { 8 }$$

Evaluate

$$\frac{347}{56}\approx 6.196428571$$

Solution Steps

Multiply 13 and 7 to get 91.

$$\frac{91+4}{7}-\frac{7\times 8+3}{8}$$

Add 91 and 4 to get 95.

$$\frac{95}{7}-\frac{7\times 8+3}{8}$$

Multiply 7 and 8 to get 56.

$$\frac{95}{7}-\frac{56+3}{8}$$

Add 56 and 3 to get 59.

$$\frac{95}{7}-\frac{59}{8}$$

Least common multiple of 7 and 8 is 56. Convert \frac{95}{7} and \frac{59}{8} to fractions with denominator 56.

$$\frac{760}{56}-\frac{413}{56}$$

Since \frac{760}{56} and \frac{413}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{760-413}{56}$$

Subtract 413 from 760 to get 347.

$$\frac{347}{56}$$

Factor

$$\frac{347}{2 ^ {3} \cdot 7} = 6\frac{11}{56} = 6.196428571428571$$