Solve 13/5div(12/5-1/3)-1.25*8/15

$$1 \frac { 3 } { 5 } \div ( 1 \frac { 2 } { 5 } - \frac { 1 } { 3 } ) - 1.25 \times \frac { 8 } { 15 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{\frac{5+3}{5}}{\frac{1\times 5+2}{5}-\frac{1}{3}}-1.25\times \frac{8}{15}$$

Add 5 and 3 to get 8.

$$\frac{\frac{8}{5}}{\frac{1\times 5+2}{5}-\frac{1}{3}}-1.25\times \frac{8}{15}$$

Multiply 1 and 5 to get 5.

$$\frac{\frac{8}{5}}{\frac{5+2}{5}-\frac{1}{3}}-1.25\times \frac{8}{15}$$

Add 5 and 2 to get 7.

$$\frac{\frac{8}{5}}{\frac{7}{5}-\frac{1}{3}}-1.25\times \frac{8}{15}$$

Least common multiple of 5 and 3 is 15. Convert \frac{7}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{\frac{8}{5}}{\frac{21}{15}-\frac{5}{15}}-1.25\times \frac{8}{15}$$

Since \frac{21}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{8}{5}}{\frac{21-5}{15}}-1.25\times \frac{8}{15}$$

Subtract 5 from 21 to get 16.

$$\frac{\frac{8}{5}}{\frac{16}{15}}-1.25\times \frac{8}{15}$$

Divide \frac{8}{5} by \frac{16}{15} by multiplying \frac{8}{5} by the reciprocal of \frac{16}{15}.

$$\frac{8}{5}\times \frac{15}{16}-1.25\times \frac{8}{15}$$

Multiply \frac{8}{5} times \frac{15}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 15}{5\times 16}-1.25\times \frac{8}{15}$$

Do the multiplications in the fraction \frac{8\times 15}{5\times 16}.

$$\frac{120}{80}-1.25\times \frac{8}{15}$$

Reduce the fraction \frac{120}{80} to lowest terms by extracting and canceling out 40.

$$\frac{3}{2}-1.25\times \frac{8}{15}$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{2}-\frac{5}{4}\times \frac{8}{15}$$

Multiply \frac{5}{4} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{2}-\frac{5\times 8}{4\times 15}$$

Do the multiplications in the fraction \frac{5\times 8}{4\times 15}.

$$\frac{3}{2}-\frac{40}{60}$$

Reduce the fraction \frac{40}{60} to lowest terms by extracting and canceling out 20.

$$\frac{3}{2}-\frac{2}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{9}{6}-\frac{4}{6}$$

Since \frac{9}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{6}$$

Subtract 4 from 9 to get 5.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$