Solve 122/9-813/15=

$$12 \frac { 2 } { 9 } - 8 \frac { 13 } { 15 } =$$

Evaluate

$$\frac{151}{45}\approx 3.355555556$$

Solution Steps

Multiply 12 and 9 to get 108.

$$\frac{108+2}{9}-\frac{8\times 15+13}{15}$$

Add 108 and 2 to get 110.

$$\frac{110}{9}-\frac{8\times 15+13}{15}$$

Multiply 8 and 15 to get 120.

$$\frac{110}{9}-\frac{120+13}{15}$$

Add 120 and 13 to get 133.

$$\frac{110}{9}-\frac{133}{15}$$

Least common multiple of 9 and 15 is 45. Convert \frac{110}{9} and \frac{133}{15} to fractions with denominator 45.

$$\frac{550}{45}-\frac{399}{45}$$

Since \frac{550}{45} and \frac{399}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{550-399}{45}$$

Subtract 399 from 550 to get 151.

$$\frac{151}{45}$$

Factor

$$\frac{151}{3 ^ {2} \cdot 5} = 3\frac{16}{45} = 3.3555555555555556$$