Solve left|-0.15right|/left|-0.15right|+left|-0.1right|*20

$$\frac{ \left| -0.15 \right| }{ \left| -0.15 \right| + \left| -0.1 \right| } \times 20$$

Evaluate

$$12$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.15 is 0.15.

$$\frac{0.15}{|-0.15|+|-0.1|}\times 20$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.15 is 0.15.

$$\frac{0.15}{0.15+|-0.1|}\times 20$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.1 is 0.1.

$$\frac{0.15}{0.15+0.1}\times 20$$

Add 0.15 and 0.1 to get 0.25.

$$\frac{0.15}{0.25}\times 20$$

Expand \frac{0.15}{0.25} by multiplying both numerator and the denominator by 100.

$$\frac{15}{25}\times 20$$

Reduce the fraction \frac{15}{25} to lowest terms by extracting and canceling out 5.

$$\frac{3}{5}\times 20$$

Express \frac{3}{5}\times 20 as a single fraction.

$$\frac{3\times 20}{5}$$

Multiply 3 and 20 to get 60.

$$\frac{60}{5}$$

Divide 60 by 5 to get 12.

$$12$$

Factor

$$3\times 2^{2}$$