Solve 60:(-9-6)-54:(3-34)-8

$$60 : ( - 9 - 6 ) - 54 : ( 3 - 34 ) - 8$$

Evaluate

$$-\frac{318}{31}\approx -10.258064516$$

Solution Steps

Subtract 6 from -9 to get -15.

$$\frac{60}{-15}-\frac{54}{3-34}-8$$

Divide 60 by -15 to get -4.

$$-4-\frac{54}{3-34}-8$$

Subtract 34 from 3 to get -31.

$$-4-\frac{54}{-31}-8$$

Fraction \frac{54}{-31} can be rewritten as -\frac{54}{31} by extracting the negative sign.

$$-4-\left(-\frac{54}{31}\right)-8$$

The opposite of -\frac{54}{31} is \frac{54}{31}.

$$-4+\frac{54}{31}-8$$

Convert -4 to fraction -\frac{124}{31}.

$$-\frac{124}{31}+\frac{54}{31}-8$$

Since -\frac{124}{31} and \frac{54}{31} have the same denominator, add them by adding their numerators.

$$\frac{-124+54}{31}-8$$

Add -124 and 54 to get -70.

$$-\frac{70}{31}-8$$

Convert 8 to fraction \frac{248}{31}.

$$-\frac{70}{31}-\frac{248}{31}$$

Since -\frac{70}{31} and \frac{248}{31} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-70-248}{31}$$

Subtract 248 from -70 to get -318.

$$-\frac{318}{31}$$

Factor

$$-\frac{318}{31} = -10\frac{8}{31} = -10.258064516129032$$