Solve 5/6+7/10

$$\frac { 5 } { 6 } + \frac { 7 } { 10 }$$

Evaluate

$$\frac{23}{15}\approx 1.533333333$$

Solution Steps

Least common multiple of 6 and 10 is 30. Convert \frac{5}{6} and \frac{7}{10} to fractions with denominator 30.

$$\frac{25}{30}+\frac{21}{30}$$

Since \frac{25}{30} and \frac{21}{30} have the same denominator, add them by adding their numerators.

$$\frac{25+21}{30}$$

Add 25 and 21 to get 46.

$$\frac{46}{30}$$

Reduce the fraction \frac{46}{30} to lowest terms by extracting and canceling out 2.

$$\frac{23}{15}$$

Factor

$$\frac{23}{3 \cdot 5} = 1\frac{8}{15} = 1.5333333333333334$$