Solve 12+30:[(6+4.2-8:(-2))-24]

$$12 + 30 : [ ( 6 + 4.2 - 8 : ( - 2 ) ) - 24 ]$$

Evaluate

$$\frac{438}{49}\approx 8.93877551$$

Solution Steps

Add 6 and 4.2 to get 10.2.

$$12+\frac{30}{10.2-\frac{8}{-2}-24}$$

Divide 8 by -2 to get -4.

$$12+\frac{30}{10.2-\left(-4\right)-24}$$

The opposite of -4 is 4.

$$12+\frac{30}{10.2+4-24}$$

Add 10.2 and 4 to get 14.2.

$$12+\frac{30}{14.2-24}$$

Subtract 24 from 14.2 to get -9.8.

$$12+\frac{30}{-9.8}$$

Expand \frac{30}{-9.8} by multiplying both numerator and the denominator by 10.

$$12+\frac{300}{-98}$$

Reduce the fraction \frac{300}{-98} to lowest terms by extracting and canceling out 2.

$$12-\frac{150}{49}$$

Convert 12 to fraction \frac{588}{49}.

$$\frac{588}{49}-\frac{150}{49}$$

Since \frac{588}{49} and \frac{150}{49} have the same denominator, subtract them by subtracting their numerators.

$$\frac{588-150}{49}$$

Subtract 150 from 588 to get 438.

$$\frac{438}{49}$$

Factor

$$\frac{2 \cdot 3 \cdot 73}{7 ^ {2}} = 8\frac{46}{49} = 8.938775510204081$$