Solve 1655/3+22/5-5/4

$$165 \frac { 5 } { 3 } + \frac { 22 } { 5 } - \frac { 5 } { 4 }$$

Evaluate

$$\frac{10189}{60}\approx 169.816666667$$

Solution Steps

Multiply 165 and 3 to get 495.

$$\frac{495+5}{3}+\frac{22}{5}-\frac{5}{4}$$

Add 495 and 5 to get 500.

$$\frac{500}{3}+\frac{22}{5}-\frac{5}{4}$$

Least common multiple of 3 and 5 is 15. Convert \frac{500}{3} and \frac{22}{5} to fractions with denominator 15.

$$\frac{2500}{15}+\frac{66}{15}-\frac{5}{4}$$

Since \frac{2500}{15} and \frac{66}{15} have the same denominator, add them by adding their numerators.

$$\frac{2500+66}{15}-\frac{5}{4}$$

Add 2500 and 66 to get 2566.

$$\frac{2566}{15}-\frac{5}{4}$$

Least common multiple of 15 and 4 is 60. Convert \frac{2566}{15} and \frac{5}{4} to fractions with denominator 60.

$$\frac{10264}{60}-\frac{75}{60}$$

Since \frac{10264}{60} and \frac{75}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10264-75}{60}$$

Subtract 75 from 10264 to get 10189.

$$\frac{10189}{60}$$

Factor

$$\frac{23 \cdot 443}{2 ^ {2} \cdot 3 \cdot 5} = 169\frac{49}{60} = 169.81666666666666$$