Solve -24,6+13,81:2,7=

$$- 24,6 + 13,81 : 2,7 =$$

Evaluate

$$-\frac{5261}{270}\approx -19,485185185$$

Solution Steps

Expand \frac{13,81}{2,7} by multiplying both numerator and the denominator by 100.

$$-24,6+\frac{1381}{270}$$

Convert decimal number -24,6 to fraction -\frac{246}{10}. Reduce the fraction -\frac{246}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{123}{5}+\frac{1381}{270}$$

Least common multiple of 5 and 270 is 270. Convert -\frac{123}{5} and \frac{1381}{270} to fractions with denominator 270.

$$-\frac{6642}{270}+\frac{1381}{270}$$

Since -\frac{6642}{270} and \frac{1381}{270} have the same denominator, add them by adding their numerators.

$$\frac{-6642+1381}{270}$$

Add -6642 and 1381 to get -5261.

$$-\frac{5261}{270}$$

Factor

$$-\frac{5261}{270} = -19\frac{131}{270} = -19.485185185185184$$