Solve (-3,3):23/4-1,5

$$( - 3,3 ) : 2 \frac { 3 } { 4 } - 1,5$$

Evaluate

$$-2,7$$

Solution Steps

Divide -3,3 by \frac{2\times 4+3}{4} by multiplying -3,3 by the reciprocal of \frac{2\times 4+3}{4}.

$$\frac{-3,3\times 4}{2\times 4+3}-1,5$$

Multiply -3,3 and 4 to get -13,2.

$$\frac{-13,2}{2\times 4+3}-1,5$$

Multiply 2 and 4 to get 8.

$$\frac{-13,2}{8+3}-1,5$$

Add 8 and 3 to get 11.

$$\frac{-13,2}{11}-1,5$$

Expand \frac{-13,2}{11} by multiplying both numerator and the denominator by 10.

$$\frac{-132}{110}-1,5$$

Reduce the fraction \frac{-132}{110} to lowest terms by extracting and canceling out 22.

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

Convert decimal number 1,5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{6}{5}-\frac{3}{2}$$

Least common multiple of 5 and 2 is 10. Convert -\frac{6}{5} and \frac{3}{2} to fractions with denominator 10.

$$-\frac{12}{10}-\frac{15}{10}$$

Since -\frac{12}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-12-15}{10}$$

Subtract 15 from -12 to get -27.

$$-\frac{27}{10}$$

Factor

$$-2,7$$