Solve 24/15-8/25

$$2 \frac { 4 } { 15 } - \frac { 8 } { 25 }$$

Evaluate

$$\frac{146}{75}\approx 1.946666667$$

Solution Steps

Multiply 2 and 15 to get 30.

$$\frac{30+4}{15}-\frac{8}{25}$$

Add 30 and 4 to get 34.

$$\frac{34}{15}-\frac{8}{25}$$

Least common multiple of 15 and 25 is 75. Convert \frac{34}{15} and \frac{8}{25} to fractions with denominator 75.

$$\frac{170}{75}-\frac{24}{75}$$

Since \frac{170}{75} and \frac{24}{75} have the same denominator, subtract them by subtracting their numerators.

$$\frac{170-24}{75}$$

Subtract 24 from 170 to get 146.

$$\frac{146}{75}$$

Factor

$$\frac{2 \cdot 73}{3 \cdot 5 ^ {2}} = 1\frac{71}{75} = 1.9466666666666668$$