Solve 32/2-5/3-2/5-1/3-frac{4}{5}=

$$\frac { 32 } { 2 } - \frac { 5 } { 3 } - \frac { 2 } { 5 } - \frac { 1 } { 3 } - \frac { 4 } { 5 } =$$

Evaluate

$$\frac{64}{5}=12.8$$

Solution Steps

Divide 32 by 2 to get 16.

$$16-\frac{5}{3}-\frac{2}{5}-\frac{1}{3}-\frac{4}{5}$$

Convert 16 to fraction \frac{48}{3}.

$$\frac{48}{3}-\frac{5}{3}-\frac{2}{5}-\frac{1}{3}-\frac{4}{5}$$

Since \frac{48}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48-5}{3}-\frac{2}{5}-\frac{1}{3}-\frac{4}{5}$$

Subtract 5 from 48 to get 43.

$$\frac{43}{3}-\frac{2}{5}-\frac{1}{3}-\frac{4}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{43}{3} and \frac{2}{5} to fractions with denominator 15.

$$\frac{215}{15}-\frac{6}{15}-\frac{1}{3}-\frac{4}{5}$$

Since \frac{215}{15} and \frac{6}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{215-6}{15}-\frac{1}{3}-\frac{4}{5}$$

Subtract 6 from 215 to get 209.

$$\frac{209}{15}-\frac{1}{3}-\frac{4}{5}$$

Least common multiple of 15 and 3 is 15. Convert \frac{209}{15} and \frac{1}{3} to fractions with denominator 15.

$$\frac{209}{15}-\frac{5}{15}-\frac{4}{5}$$

Since \frac{209}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{209-5}{15}-\frac{4}{5}$$

Subtract 5 from 209 to get 204.

$$\frac{204}{15}-\frac{4}{5}$$

Reduce the fraction \frac{204}{15} to lowest terms by extracting and canceling out 3.

$$\frac{68}{5}-\frac{4}{5}$$

Since \frac{68}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{68-4}{5}$$

Subtract 4 from 68 to get 64.

$$\frac{64}{5}$$

Factor

$$\frac{2 ^ {6}}{5} = 12\frac{4}{5} = 12.8$$