Solve (39/170+5/22)

$$( \frac { 39 } { 170 } + \frac { 5 } { 22 } )$$

Evaluate

$$\frac{427}{935}\approx 0.456684492$$

Solution Steps

Least common multiple of 170 and 22 is 1870. Convert \frac{39}{170} and \frac{5}{22} to fractions with denominator 1870.

$$\frac{429}{1870}+\frac{425}{1870}$$

Since \frac{429}{1870} and \frac{425}{1870} have the same denominator, add them by adding their numerators.

$$\frac{429+425}{1870}$$

Add 429 and 425 to get 854.

$$\frac{854}{1870}$$

Reduce the fraction \frac{854}{1870} to lowest terms by extracting and canceling out 2.

$$\frac{427}{935}$$

Factor

$$\frac{7 \cdot 61}{5 \cdot 11 \cdot 17} = 0.4566844919786096$$