Solve 23/5+12/3-7/15

$$2 \frac { 3 } { 5 } + 1 \frac { 2 } { 3 } - \frac { 7 } { 15 }$$

Evaluate

$$\frac{19}{5}=3.8$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}+\frac{1\times 3+2}{3}-\frac{7}{15}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}+\frac{1\times 3+2}{3}-\frac{7}{15}$$

Multiply 1 and 3 to get 3.

$$\frac{13}{5}+\frac{3+2}{3}-\frac{7}{15}$$

Add 3 and 2 to get 5.

$$\frac{13}{5}+\frac{5}{3}-\frac{7}{15}$$

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

$$\frac{39}{15}+\frac{25}{15}-\frac{7}{15}$$

Since \frac{39}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$\frac{39+25}{15}-\frac{7}{15}$$

Add 39 and 25 to get 64.

$$\frac{64}{15}-\frac{7}{15}$$

Since \frac{64}{15} and \frac{7}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{64-7}{15}$$

Subtract 7 from 64 to get 57.

$$\frac{57}{15}$$

Reduce the fraction \frac{57}{15} to lowest terms by extracting and canceling out 3.

$$\frac{19}{5}$$

Factor

$$\frac{19}{5} = 3\frac{4}{5} = 3.8$$