Solve 6/15+34/20

$$\frac { 6 } { 15 } + 3 \frac { 4 } { 20 }$$

Evaluate

$$\frac{18}{5}=3.6$$

Solution Steps

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{2}{5}+\frac{3\times 20+4}{20}$$

Multiply 3 and 20 to get 60.

$$\frac{2}{5}+\frac{60+4}{20}$$

Add 60 and 4 to get 64.

$$\frac{2}{5}+\frac{64}{20}$$

Reduce the fraction \frac{64}{20} to lowest terms by extracting and canceling out 4.

$$\frac{2}{5}+\frac{16}{5}$$

Since \frac{2}{5} and \frac{16}{5} have the same denominator, add them by adding their numerators.

$$\frac{2+16}{5}$$

Add 2 and 16 to get 18.

$$\frac{18}{5}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5} = 3\frac{3}{5} = 3.6$$