Solve 21/8-66/42

$$\frac{ 21 }{ 8 } - \frac{ 66 }{ 42 }$$

Evaluate

$$\frac{59}{56}\approx 1.053571429$$

Solution Steps

Reduce the fraction \frac{66}{42} to lowest terms by extracting and canceling out 6.

$$\frac{21}{8}-\frac{11}{7}$$

Least common multiple of 8 and 7 is 56. Convert \frac{21}{8} and \frac{11}{7} to fractions with denominator 56.

$$\frac{147}{56}-\frac{88}{56}$$

Since \frac{147}{56} and \frac{88}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{147-88}{56}$$

Subtract 88 from 147 to get 59.

$$\frac{59}{56}$$

Factor

$$\frac{59}{2 ^ {3} \cdot 7} = 1\frac{3}{56} = 1.0535714285714286$$