Solve 8/10-2/5+39/9

$$\frac{ 8 }{ 10 } - \frac{ 2 }{ 5 } + \frac{ 39 }{ 9 }$$

Evaluate

$$\frac{71}{15}\approx 4.733333333$$

Solution Steps

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}-\frac{2}{5}+\frac{39}{9}$$

Since \frac{4}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-2}{5}+\frac{39}{9}$$

Subtract 2 from 4 to get 2.

$$\frac{2}{5}+\frac{39}{9}$$

Reduce the fraction \frac{39}{9} to lowest terms by extracting and canceling out 3.

$$\frac{2}{5}+\frac{13}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{2}{5} and \frac{13}{3} to fractions with denominator 15.

$$\frac{6}{15}+\frac{65}{15}$$

Since \frac{6}{15} and \frac{65}{15} have the same denominator, add them by adding their numerators.

$$\frac{6+65}{15}$$

Add 6 and 65 to get 71.

$$\frac{71}{15}$$

Factor

$$\frac{71}{3 \cdot 5} = 4\frac{11}{15} = 4.733333333333333$$