Solve 151/72+171/90

$$15 \frac { 1 } { 72 } + 17 \frac { 1 } { 90 }$$

Evaluate

$$\frac{1281}{40}=32.025$$

Solution Steps

Multiply 15 and 72 to get 1080.

$$\frac{1080+1}{72}+\frac{17\times 90+1}{90}$$

Add 1080 and 1 to get 1081.

$$\frac{1081}{72}+\frac{17\times 90+1}{90}$$

Multiply 17 and 90 to get 1530.

$$\frac{1081}{72}+\frac{1530+1}{90}$$

Add 1530 and 1 to get 1531.

$$\frac{1081}{72}+\frac{1531}{90}$$

Least common multiple of 72 and 90 is 360. Convert \frac{1081}{72} and \frac{1531}{90} to fractions with denominator 360.

$$\frac{5405}{360}+\frac{6124}{360}$$

Since \frac{5405}{360} and \frac{6124}{360} have the same denominator, add them by adding their numerators.

$$\frac{5405+6124}{360}$$

Add 5405 and 6124 to get 11529.

$$\frac{11529}{360}$$

Reduce the fraction \frac{11529}{360} to lowest terms by extracting and canceling out 9.

$$\frac{1281}{40}$$

Factor

$$\frac{3 \cdot 7 \cdot 61}{2 ^ {3} \cdot 5} = 32\frac{1}{40} = 32.025$$