Solve 855/6+762/3

$$85 \frac { 5 } { 6 } + 76 \frac { 2 } { 3 }$$

Evaluate

$$\frac{325}{2}=162.5$$

Solution Steps

Multiply 85 and 6 to get 510.

$$\frac{510+5}{6}+\frac{76\times 3+2}{3}$$

Add 510 and 5 to get 515.

$$\frac{515}{6}+\frac{76\times 3+2}{3}$$

Multiply 76 and 3 to get 228.

$$\frac{515}{6}+\frac{228+2}{3}$$

Add 228 and 2 to get 230.

$$\frac{515}{6}+\frac{230}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{515}{6} and \frac{230}{3} to fractions with denominator 6.

$$\frac{515}{6}+\frac{460}{6}$$

Since \frac{515}{6} and \frac{460}{6} have the same denominator, add them by adding their numerators.

$$\frac{515+460}{6}$$

Add 515 and 460 to get 975.

$$\frac{975}{6}$$

Reduce the fraction \frac{975}{6} to lowest terms by extracting and canceling out 3.

$$\frac{325}{2}$$

Factor

$$\frac{5 ^ {2} \cdot 13}{2} = 162\frac{1}{2} = 162.5$$