Solve |3+4-10|*2/38+74-2+100

$$\frac { | 3 + 4 - 10 | \times 2 } { 38 + 74 - 2 + 100 }$$

Evaluate

$$\frac{1}{35}\approx 0.028571429$$

Solution Steps

Add 3 and 4 to get 7.

$$\frac{|7-10|\times 2}{38+74-2+100}$$

Subtract 10 from 7 to get -3.

$$\frac{|-3|\times 2}{38+74-2+100}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -3 is 3.

$$\frac{3\times 2}{38+74-2+100}$$

Multiply 3 and 2 to get 6.

$$\frac{6}{38+74-2+100}$$

Add 38 and 74 to get 112.

$$\frac{6}{112-2+100}$$

Subtract 2 from 112 to get 110.

$$\frac{6}{110+100}$$

Add 110 and 100 to get 210.

$$\frac{6}{210}$$

Reduce the fraction \frac{6}{210} to lowest terms by extracting and canceling out 6.

$$\frac{1}{35}$$

Factor

$$\frac{1}{5 \cdot 7} = 0.02857142857142857$$