Solve 5*3/7-(1-0,8):2/3=

$$5 \cdot \frac { 3 } { 7 } - ( 1 - 0,8 ) : \frac { 2 } { 3 } =$$

Evaluate

$$\frac{129}{70}\approx 1,842857143$$

Solution Steps

Express 5\times \frac{3}{7} as a single fraction.

$$\frac{5\times 3}{7}-\frac{1-0,8}{\frac{2}{3}}$$

Multiply 5 and 3 to get 15.

$$\frac{15}{7}-\frac{1-0,8}{\frac{2}{3}}$$

Subtract 0,8 from 1 to get 0,2.

$$\frac{15}{7}-\frac{0,2}{\frac{2}{3}}$$

Divide 0,2 by \frac{2}{3} by multiplying 0,2 by the reciprocal of \frac{2}{3}.

$$\frac{15}{7}-0,2\times \frac{3}{2}$$

Convert decimal number 0,2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{1}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 3}{5\times 2}.

$$\frac{15}{7}-\frac{3}{10}$$

Least common multiple of 7 and 10 is 70. Convert \frac{15}{7} and \frac{3}{10} to fractions with denominator 70.

$$\frac{150}{70}-\frac{21}{70}$$

Since \frac{150}{70} and \frac{21}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{150-21}{70}$$

Subtract 21 from 150 to get 129.

$$\frac{129}{70}$$

Factor

$$\frac{3 \cdot 43}{2 \cdot 5 \cdot 7} = 1\frac{59}{70} = 1.8428571428571427$$