Solve 317/15+67/20

$$3 \frac { 17 } { 15 } + 6 \frac { 7 } { 20 }$$

Evaluate

$$\frac{629}{60}\approx 10.483333333$$

Solution Steps

Multiply 3 and 15 to get 45.

$$\frac{45+17}{15}+\frac{6\times 20+7}{20}$$

Add 45 and 17 to get 62.

$$\frac{62}{15}+\frac{6\times 20+7}{20}$$

Multiply 6 and 20 to get 120.

$$\frac{62}{15}+\frac{120+7}{20}$$

Add 120 and 7 to get 127.

$$\frac{62}{15}+\frac{127}{20}$$

Least common multiple of 15 and 20 is 60. Convert \frac{62}{15} and \frac{127}{20} to fractions with denominator 60.

$$\frac{248}{60}+\frac{381}{60}$$

Since \frac{248}{60} and \frac{381}{60} have the same denominator, add them by adding their numerators.

$$\frac{248+381}{60}$$

Add 248 and 381 to get 629.

$$\frac{629}{60}$$

Factor

$$\frac{17 \cdot 37}{2 ^ {2} \cdot 3 \cdot 5} = 10\frac{29}{60} = 10.483333333333333$$