Solve 52/9-24/15

$$5 \frac { 2 } { 9 } - 2 \frac { 4 } { 15 }$$

Evaluate

$$\frac{133}{45}\approx 2.955555556$$

Solution Steps

Multiply 5 and 9 to get 45.

$$\frac{45+2}{9}-\frac{2\times 15+4}{15}$$

Add 45 and 2 to get 47.

$$\frac{47}{9}-\frac{2\times 15+4}{15}$$

Multiply 2 and 15 to get 30.

$$\frac{47}{9}-\frac{30+4}{15}$$

Add 30 and 4 to get 34.

$$\frac{47}{9}-\frac{34}{15}$$

Least common multiple of 9 and 15 is 45. Convert \frac{47}{9} and \frac{34}{15} to fractions with denominator 45.

$$\frac{235}{45}-\frac{102}{45}$$

Since \frac{235}{45} and \frac{102}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{235-102}{45}$$

Subtract 102 from 235 to get 133.

$$\frac{133}{45}$$

Factor

$$\frac{7 \cdot 19}{3 ^ {2} \cdot 5} = 2\frac{43}{45} = 2.9555555555555557$$