Solve 37/8-19/7=

$$3 \frac{ 7 }{ 8 } - \frac{ 19 }{ 7 } =$$

Evaluate

$$\frac{65}{56}\approx 1.160714286$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+7}{8}-\frac{19}{7}$$

Add 24 and 7 to get 31.

$$\frac{31}{8}-\frac{19}{7}$$

Least common multiple of 8 and 7 is 56. Convert \frac{31}{8} and \frac{19}{7} to fractions with denominator 56.

$$\frac{217}{56}-\frac{152}{56}$$

Since \frac{217}{56} and \frac{152}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{217-152}{56}$$

Subtract 152 from 217 to get 65.

$$\frac{65}{56}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {3} \cdot 7} = 1\frac{9}{56} = 1.1607142857142858$$