Solve 74/9-52/15

$$7 \frac { 4 } { 9 } - 5 \frac { 2 } { 15 }$$

Evaluate

$$\frac{104}{45}\approx 2.311111111$$

Solution Steps

Multiply 7 and 9 to get 63.

$$\frac{63+4}{9}-\frac{5\times 15+2}{15}$$

Add 63 and 4 to get 67.

$$\frac{67}{9}-\frac{5\times 15+2}{15}$$

Multiply 5 and 15 to get 75.

$$\frac{67}{9}-\frac{75+2}{15}$$

Add 75 and 2 to get 77.

$$\frac{67}{9}-\frac{77}{15}$$

Least common multiple of 9 and 15 is 45. Convert \frac{67}{9} and \frac{77}{15} to fractions with denominator 45.

$$\frac{335}{45}-\frac{231}{45}$$

Since \frac{335}{45} and \frac{231}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{335-231}{45}$$

Subtract 231 from 335 to get 104.

$$\frac{104}{45}$$

Factor

$$\frac{2 ^ {3} \cdot 13}{3 ^ {2} \cdot 5} = 2\frac{14}{45} = 2.311111111111111$$