Solve 31/17+1/15

$$3 \frac { 1 } { 17 } + \frac { 1 } { 15 }$$

Evaluate

$$\frac{797}{255}\approx 3.125490196$$

Solution Steps

Multiply 3 and 17 to get 51.

$$\frac{51+1}{17}+\frac{1}{15}$$

Add 51 and 1 to get 52.

$$\frac{52}{17}+\frac{1}{15}$$

Least common multiple of 17 and 15 is 255. Convert \frac{52}{17} and \frac{1}{15} to fractions with denominator 255.

$$\frac{780}{255}+\frac{17}{255}$$

Since \frac{780}{255} and \frac{17}{255} have the same denominator, add them by adding their numerators.

$$\frac{780+17}{255}$$

Add 780 and 17 to get 797.

$$\frac{797}{255}$$

Factor

$$\frac{797}{3 \cdot 5 \cdot 17} = 3\frac{32}{255} = 3.1254901960784314$$