Solve 32/11-15/8

$$3 \frac { 2 } { 11 } - 1 \frac { 5 } { 8 }$$

Evaluate

$$\frac{137}{88}\approx 1.556818182$$

Solution Steps

Multiply 3 and 11 to get 33.

$$\frac{33+2}{11}-\frac{1\times 8+5}{8}$$

Add 33 and 2 to get 35.

$$\frac{35}{11}-\frac{1\times 8+5}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{35}{11}-\frac{8+5}{8}$$

Add 8 and 5 to get 13.

$$\frac{35}{11}-\frac{13}{8}$$

Least common multiple of 11 and 8 is 88. Convert \frac{35}{11} and \frac{13}{8} to fractions with denominator 88.

$$\frac{280}{88}-\frac{143}{88}$$

Since \frac{280}{88} and \frac{143}{88} have the same denominator, subtract them by subtracting their numerators.

$$\frac{280-143}{88}$$

Subtract 143 from 280 to get 137.

$$\frac{137}{88}$$

Factor

$$\frac{137}{2 ^ {3} \cdot 11} = 1\frac{49}{88} = 1.5568181818181819$$