Solve 5/6+9/10

$$\frac{ 5 }{ 6 } + \frac{ 9 }{ 10 }$$

Evaluate

$$\frac{26}{15}\approx 1.733333333$$

Solution Steps

Least common multiple of 6 and 10 is 30. Convert \frac{5}{6} and \frac{9}{10} to fractions with denominator 30.

$$\frac{25}{30}+\frac{27}{30}$$

Since \frac{25}{30} and \frac{27}{30} have the same denominator, add them by adding their numerators.

$$\frac{25+27}{30}$$

Add 25 and 27 to get 52.

$$\frac{52}{30}$$

Reduce the fraction \frac{52}{30} to lowest terms by extracting and canceling out 2.

$$\frac{26}{15}$$

Factor

$$\frac{2 \cdot 13}{3 \cdot 5} = 1\frac{11}{15} = 1.7333333333333334$$