Solve 23/7-11/8

$$2 \frac { 3 } { 7 } - 1 \frac { 1 } { 8 }$$

Evaluate

$$\frac{73}{56}\approx 1.303571429$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+3}{7}-\frac{1\times 8+1}{8}$$

Add 14 and 3 to get 17.

$$\frac{17}{7}-\frac{1\times 8+1}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{17}{7}-\frac{8+1}{8}$$

Add 8 and 1 to get 9.

$$\frac{17}{7}-\frac{9}{8}$$

Least common multiple of 7 and 8 is 56. Convert \frac{17}{7} and \frac{9}{8} to fractions with denominator 56.

$$\frac{136}{56}-\frac{63}{56}$$

Since \frac{136}{56} and \frac{63}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{136-63}{56}$$

Subtract 63 from 136 to get 73.

$$\frac{73}{56}$$

Factor

$$\frac{73}{2 ^ {3} \cdot 7} = 1\frac{17}{56} = 1.3035714285714286$$