Solve -53/4*1,2-310*0,01/(2,6-5):frac{2{5}}=

$$\frac { - 5 \frac { 3 } { 4 } \cdot 1,2 - 310 \cdot 0,01 } { ( 2,6 - 5 ) : \frac { 2 } { 5 } } =$$

Evaluate

$$\frac{5}{3}\approx 1,666666667$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{\left(-\frac{20+3}{4}\right)\times 1,2-310\times 0,01}{\frac{2,6-5}{\frac{2}{5}}}$$

Add 20 and 3 to get 23.

$$\frac{-\frac{23}{4}\times 1,2-310\times 0,01}{\frac{2,6-5}{\frac{2}{5}}}$$

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.

$$\frac{-\frac{23}{4}\times \frac{6}{5}-310\times 0,01}{\frac{2,6-5}{\frac{2}{5}}}$$

Multiply -\frac{23}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{-23\times 6}{4\times 5}-310\times 0,01}{\frac{2,6-5}{\frac{2}{5}}}$$

Do the multiplications in the fraction \frac{-23\times 6}{4\times 5}.

$$\frac{\frac{-138}{20}-310\times 0,01}{\frac{2,6-5}{\frac{2}{5}}}$$

Reduce the fraction \frac{-138}{20} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{69}{10}-310\times 0,01}{\frac{2,6-5}{\frac{2}{5}}}$$

Multiply 310 and 0,01 to get 3,1.

$$\frac{-\frac{69}{10}-3,1}{\frac{2,6-5}{\frac{2}{5}}}$$

Convert decimal number 3,1 to fraction \frac{31}{10}.

$$\frac{-\frac{69}{10}-\frac{31}{10}}{\frac{2,6-5}{\frac{2}{5}}}$$

Since -\frac{69}{10} and \frac{31}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-69-31}{10}}{\frac{2,6-5}{\frac{2}{5}}}$$

Subtract 31 from -69 to get -100.

$$\frac{\frac{-100}{10}}{\frac{2,6-5}{\frac{2}{5}}}$$

Divide -100 by 10 to get -10.

$$\frac{-10}{\frac{2,6-5}{\frac{2}{5}}}$$

Subtract 5 from 2,6 to get -2,4.

$$\frac{-10}{\frac{-2,4}{\frac{2}{5}}}$$

Divide -2,4 by \frac{2}{5} by multiplying -2,4 by the reciprocal of \frac{2}{5}.

$$\frac{-10}{-2,4\times \frac{5}{2}}$$

Convert decimal number -2,4 to fraction -\frac{24}{10}. Reduce the fraction -\frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{-10}{-\frac{12}{5}\times \frac{5}{2}}$$

Multiply -\frac{12}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-10}{\frac{-12\times 5}{5\times 2}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-10}{\frac{-12}{2}}$$

Divide -12 by 2 to get -6.

$$\frac{-10}{-6}$$

Reduce the fraction \frac{-10}{-6} to lowest terms by extracting and canceling out -2.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$