Solve (-2/3)(2-6*11/3)/3frac{3{5}+1,2:3/5}

$$\frac { ( - \frac { 2 } { 3 } ) ( 2 - 6 \cdot 1 \frac { 1 } { 3 } ) } { 3 \frac { 3 } { 5 } + 1,2 : \frac { 3 } { 5 } }$$

Evaluate

$$\frac{5}{7}\approx 0,714285714$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{-\frac{2}{3}\left(2-6\times \frac{3+1}{3}\right)}{\frac{3\times 5+3}{5}+\frac{1,2}{\frac{3}{5}}}$$

Add 3 and 1 to get 4.

$$\frac{-\frac{2}{3}\left(2-6\times \frac{4}{3}\right)}{\frac{3\times 5+3}{5}+\frac{1,2}{\frac{3}{5}}}$$

Express 6\times \frac{4}{3} as a single fraction.

$$\frac{-\frac{2}{3}\left(2-\frac{6\times 4}{3}\right)}{\frac{3\times 5+3}{5}+\frac{1,2}{\frac{3}{5}}}$$

Multiply 6 and 4 to get 24.

$$\frac{-\frac{2}{3}\left(2-\frac{24}{3}\right)}{\frac{3\times 5+3}{5}+\frac{1,2}{\frac{3}{5}}}$$

Divide 24 by 3 to get 8.

$$\frac{-\frac{2}{3}\left(2-8\right)}{\frac{3\times 5+3}{5}+\frac{1,2}{\frac{3}{5}}}$$

Subtract 8 from 2 to get -6.

$$\frac{-\frac{2}{3}\left(-6\right)}{\frac{3\times 5+3}{5}+\frac{1,2}{\frac{3}{5}}}$$

Express -\frac{2}{3}\left(-6\right) as a single fraction.

$$\frac{\frac{-2\left(-6\right)}{3}}{\frac{3\times 5+3}{5}+\frac{1,2}{\frac{3}{5}}}$$

Multiply -2 and -6 to get 12.

$$\frac{\frac{12}{3}}{\frac{3\times 5+3}{5}+\frac{1,2}{\frac{3}{5}}}$$

Divide 12 by 3 to get 4.

$$\frac{4}{\frac{3\times 5+3}{5}+\frac{1,2}{\frac{3}{5}}}$$

Multiply 3 and 5 to get 15.

$$\frac{4}{\frac{15+3}{5}+\frac{1,2}{\frac{3}{5}}}$$

Add 15 and 3 to get 18.

$$\frac{4}{\frac{18}{5}+\frac{1,2}{\frac{3}{5}}}$$

Divide 1,2 by \frac{3}{5} by multiplying 1,2 by the reciprocal of \frac{3}{5}.

$$\frac{4}{\frac{18}{5}+1,2\times \frac{5}{3}}$$

Convert decimal number 1,2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{\frac{18}{5}+\frac{6}{5}\times \frac{5}{3}}$$

Multiply \frac{6}{5} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{\frac{18}{5}+\frac{6\times 5}{5\times 3}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4}{\frac{18}{5}+\frac{6}{3}}$$

Divide 6 by 3 to get 2.

$$\frac{4}{\frac{18}{5}+2}$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{4}{\frac{18}{5}+\frac{10}{5}}$$

Since \frac{18}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$\frac{4}{\frac{18+10}{5}}$$

Add 18 and 10 to get 28.

$$\frac{4}{\frac{28}{5}}$$

Divide 4 by \frac{28}{5} by multiplying 4 by the reciprocal of \frac{28}{5}.

$$4\times \frac{5}{28}$$

Express 4\times \frac{5}{28} as a single fraction.

$$\frac{4\times 5}{28}$$

Multiply 4 and 5 to get 20.

$$\frac{20}{28}$$

Reduce the fraction \frac{20}{28} to lowest terms by extracting and canceling out 4.

$$\frac{5}{7}$$

Factor

$$\frac{5}{7} = 0.7142857142857143$$