Solve 15/9-13/8

$$1 \frac { 5 } { 9 } - 1 \frac { 3 } { 8 }$$

Evaluate

$$\frac{13}{72}\approx 0.180555556$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+5}{9}-\frac{1\times 8+3}{8}$$

Add 9 and 5 to get 14.

$$\frac{14}{9}-\frac{1\times 8+3}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{14}{9}-\frac{8+3}{8}$$

Add 8 and 3 to get 11.

$$\frac{14}{9}-\frac{11}{8}$$

Least common multiple of 9 and 8 is 72. Convert \frac{14}{9} and \frac{11}{8} to fractions with denominator 72.

$$\frac{112}{72}-\frac{99}{72}$$

Since \frac{112}{72} and \frac{99}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{112-99}{72}$$

Subtract 99 from 112 to get 13.

$$\frac{13}{72}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 3 ^ {2}} = 0.18055555555555555$$