Solve 36/9-5:3*6/0,4-1frac{1{5}}=

$$\frac { \frac { 36 } { 9 } - 5 : 3 \cdot 6 } { 0,4 - 1 \frac { 1 } { 5 } } =$$

Evaluate

$$7,5$$

Solution Steps

Divide 36 by 9 to get 4.

$$\frac{4-\frac{5}{3}\times 6}{0,4-\frac{1\times 5+1}{5}}$$

Express \frac{5}{3}\times 6 as a single fraction.

$$\frac{4-\frac{5\times 6}{3}}{0,4-\frac{1\times 5+1}{5}}$$

Multiply 5 and 6 to get 30.

$$\frac{4-\frac{30}{3}}{0,4-\frac{1\times 5+1}{5}}$$

Divide 30 by 3 to get 10.

$$\frac{4-10}{0,4-\frac{1\times 5+1}{5}}$$

Subtract 10 from 4 to get -6.

$$\frac{-6}{0,4-\frac{1\times 5+1}{5}}$$

Multiply 1 and 5 to get 5.

$$\frac{-6}{0,4-\frac{5+1}{5}}$$

Add 5 and 1 to get 6.

$$\frac{-6}{0,4-\frac{6}{5}}$$

Convert decimal number 0,4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{-6}{\frac{2}{5}-\frac{6}{5}}$$

Since \frac{2}{5} and \frac{6}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-6}{\frac{2-6}{5}}$$

Subtract 6 from 2 to get -4.

$$\frac{-6}{-\frac{4}{5}}$$

Divide -6 by -\frac{4}{5} by multiplying -6 by the reciprocal of -\frac{4}{5}.

$$-6\left(-\frac{5}{4}\right)$$

Express -6\left(-\frac{5}{4}\right) as a single fraction.

$$\frac{-6\left(-5\right)}{4}$$

Multiply -6 and -5 to get 30.

$$\frac{30}{4}$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$