Solve (-15)*(1,6)-5,6:(1,3-4,5:3)

$$( - 15 ) \cdot ( 1,6 ) - 5,6 : ( 1,3 - 4,5 : 3 )$$

Evaluate

$$4$$

Solution Steps

Multiply -15 and 1,6 to get -24.

$$-24-\frac{5,6}{1,3-\frac{4,5}{3}}$$

Expand \frac{4,5}{3} by multiplying both numerator and the denominator by 10.

$$-24-\frac{5,6}{1,3-\frac{45}{30}}$$

Reduce the fraction \frac{45}{30} to lowest terms by extracting and canceling out 15.

$$-24-\frac{5,6}{1,3-\frac{3}{2}}$$

Convert decimal number 1,3 to fraction \frac{13}{10}.

$$-24-\frac{5,6}{\frac{13}{10}-\frac{3}{2}}$$

Least common multiple of 10 and 2 is 10. Convert \frac{13}{10} and \frac{3}{2} to fractions with denominator 10.

$$-24-\frac{5,6}{\frac{13}{10}-\frac{15}{10}}$$

Since \frac{13}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$-24-\frac{5,6}{\frac{13-15}{10}}$$

Subtract 15 from 13 to get -2.

$$-24-\frac{5,6}{\frac{-2}{10}}$$

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

$$-24-\frac{5,6}{-\frac{1}{5}}$$

Divide 5,6 by -\frac{1}{5} by multiplying 5,6 by the reciprocal of -\frac{1}{5}.

$$-24-5,6\left(-5\right)$$

Multiply 5,6 and -5 to get -28.

$$-24-\left(-28\right)$$

The opposite of -28 is 28.

$$-24+28$$

Add -24 and 28 to get 4.

$$4$$

Factor

$$2^{2}$$