Solve -{-48:(-25+7-18):(-11+8)}}

$$- \{ - 48 : ( - 25 + 7 - 18 ) : ( - 11 + 8 ) \} \}$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Add -25 and 7 to get -18.

$$-\frac{\frac{-48}{-18-18}}{-11+8}$$

Subtract 18 from -18 to get -36.

$$-\frac{\frac{-48}{-36}}{-11+8}$$

Reduce the fraction \frac{-48}{-36} to lowest terms by extracting and canceling out -12.

$$-\frac{\frac{4}{3}}{-11+8}$$

Add -11 and 8 to get -3.

$$-\frac{\frac{4}{3}}{-3}$$

Express \frac{\frac{4}{3}}{-3} as a single fraction.

$$-\frac{4}{3\left(-3\right)}$$

Multiply 3 and -3 to get -9.

$$-\frac{4}{-9}$$

Fraction \frac{4}{-9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$-\left(-\frac{4}{9}\right)$$

The opposite of -\frac{4}{9} is \frac{4}{9}.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$