Solve 23/17+15/13

$$2 \frac { 3 } { 17 } + 1 \frac { 5 } { 13 }$$

Evaluate

$$\frac{787}{221}\approx 3.561085973$$

Solution Steps

Multiply 2 and 17 to get 34.

$$\frac{34+3}{17}+\frac{1\times 13+5}{13}$$

Add 34 and 3 to get 37.

$$\frac{37}{17}+\frac{1\times 13+5}{13}$$

Multiply 1 and 13 to get 13.

$$\frac{37}{17}+\frac{13+5}{13}$$

Add 13 and 5 to get 18.

$$\frac{37}{17}+\frac{18}{13}$$

Least common multiple of 17 and 13 is 221. Convert \frac{37}{17} and \frac{18}{13} to fractions with denominator 221.

$$\frac{481}{221}+\frac{306}{221}$$

Since \frac{481}{221} and \frac{306}{221} have the same denominator, add them by adding their numerators.

$$\frac{481+306}{221}$$

Add 481 and 306 to get 787.

$$\frac{787}{221}$$

Factor

$$\frac{787}{13 \cdot 17} = 3\frac{124}{221} = 3.5610859728506785$$