Solve left|-0.09right|/left|-0.09right|+left|-0.16right|*20

$$\frac{ \left| -0.09 \right| }{ \left| -0.09 \right| + \left| -0.16 \right| } \times 20$$

Evaluate

$$7.2$$

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 -0.09 is 0.09.

$$\frac{0.09}{|-0.09|+|-0.16|}\times 20$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.09 is 0.09.

$$\frac{0.09}{0.09+|-0.16|}\times 20$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.16 is 0.16.

$$\frac{0.09}{0.09+0.16}\times 20$$

Add 0.09 and 0.16 to get 0.25.

$$\frac{0.09}{0.25}\times 20$$

Expand \frac{0.09}{0.25} by multiplying both numerator and the denominator by 100.

$$\frac{9}{25}\times 20$$

Express \frac{9}{25}\times 20 as a single fraction.

$$\frac{9\times 20}{25}$$

Multiply 9 and 20 to get 180.

$$\frac{180}{25}$$

Reduce the fraction \frac{180}{25} to lowest terms by extracting and canceling out 5.

$$\frac{36}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2$$