Solve 37/51+16/170=

$$\frac { 37 } { 51 } + \frac { 16 } { 170 } =$$

Evaluate

$$\frac{209}{255}\approx 0.819607843$$

Solution Steps

Reduce the fraction \frac{16}{170} to lowest terms by extracting and canceling out 2.

$$\frac{37}{51}+\frac{8}{85}$$

Least common multiple of 51 and 85 is 255. Convert \frac{37}{51} and \frac{8}{85} to fractions with denominator 255.

$$\frac{185}{255}+\frac{24}{255}$$

Since \frac{185}{255} and \frac{24}{255} have the same denominator, add them by adding their numerators.

$$\frac{185+24}{255}$$

Add 185 and 24 to get 209.

$$\frac{209}{255}$$

Factor

$$\frac{11 \cdot 19}{3 \cdot 5 \cdot 17} = 0.8196078431372549$$