Solve 80/3-128/15+972/15

$$\frac{ 80 }{ 3 } - \frac{ 128 }{ 15 } + \frac{ 972 }{ 15 }$$

Evaluate

$$\frac{1244}{15}\approx 82.933333333$$

Solution Steps

Least common multiple of 3 and 15 is 15. Convert \frac{80}{3} and \frac{128}{15} to fractions with denominator 15.

$$\frac{400}{15}-\frac{128}{15}+\frac{972}{15}$$

Since \frac{400}{15} and \frac{128}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{400-128}{15}+\frac{972}{15}$$

Subtract 128 from 400 to get 272.

$$\frac{272}{15}+\frac{972}{15}$$

Since \frac{272}{15} and \frac{972}{15} have the same denominator, add them by adding their numerators.

$$\frac{272+972}{15}$$

Add 272 and 972 to get 1244.

$$\frac{1244}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 311}{3 \cdot 5} = 82\frac{14}{15} = 82.93333333333334$$