Solve 5+42/3+22/15

$$5 + 4 \frac { 2 } { 3 } + 2 \frac { 2 } { 15 }$$

Evaluate

$$\frac{59}{5}=11.8$$

Solution Steps

Multiply 4 and 3 to get 12.

$$5+\frac{12+2}{3}+\frac{2\times 15+2}{15}$$

Add 12 and 2 to get 14.

$$5+\frac{14}{3}+\frac{2\times 15+2}{15}$$

Convert 5 to fraction \frac{15}{3}.

$$\frac{15}{3}+\frac{14}{3}+\frac{2\times 15+2}{15}$$

Since \frac{15}{3} and \frac{14}{3} have the same denominator, add them by adding their numerators.

$$\frac{15+14}{3}+\frac{2\times 15+2}{15}$$

Add 15 and 14 to get 29.

$$\frac{29}{3}+\frac{2\times 15+2}{15}$$

Multiply 2 and 15 to get 30.

$$\frac{29}{3}+\frac{30+2}{15}$$

Add 30 and 2 to get 32.

$$\frac{29}{3}+\frac{32}{15}$$

Least common multiple of 3 and 15 is 15. Convert \frac{29}{3} and \frac{32}{15} to fractions with denominator 15.

$$\frac{145}{15}+\frac{32}{15}$$

Since \frac{145}{15} and \frac{32}{15} have the same denominator, add them by adding their numerators.

$$\frac{145+32}{15}$$

Add 145 and 32 to get 177.

$$\frac{177}{15}$$

Reduce the fraction \frac{177}{15} to lowest terms by extracting and canceling out 3.

$$\frac{59}{5}$$

Factor

$$\frac{59}{5} = 11\frac{4}{5} = 11.8$$