Solve 18/285+952/175

$$\frac { 18 } { 285 } + \frac { 952 } { 175 }$$

Evaluate

$$\frac{2614}{475}\approx 5.503157895$$

Solution Steps

Reduce the fraction \frac{18}{285} to lowest terms by extracting and canceling out 3.

$$\frac{6}{95}+\frac{952}{175}$$

Reduce the fraction \frac{952}{175} to lowest terms by extracting and canceling out 7.

$$\frac{6}{95}+\frac{136}{25}$$

Least common multiple of 95 and 25 is 475. Convert \frac{6}{95} and \frac{136}{25} to fractions with denominator 475.

$$\frac{30}{475}+\frac{2584}{475}$$

Since \frac{30}{475} and \frac{2584}{475} have the same denominator, add them by adding their numerators.

$$\frac{30+2584}{475}$$

Add 30 and 2584 to get 2614.

$$\frac{2614}{475}$$

Factor

$$\frac{2 \cdot 1307}{5 ^ {2} \cdot 19} = 5\frac{239}{475} = 5.503157894736842$$