Solve 3/9+14/10=

$$\frac{ 3 }{ 9 } + \frac{ 14 }{ 10 } =$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}+\frac{14}{10}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}+\frac{7}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{7}{5} to fractions with denominator 15.

$$\frac{5}{15}+\frac{21}{15}$$

Since \frac{5}{15} and \frac{21}{15} have the same denominator, add them by adding their numerators.

$$\frac{5+21}{15}$$

Add 5 and 21 to get 26.

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

Factor

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