Solve |-66|:5-6:|-3/4|=

$$| - 66 | : 5 - 6 : | - \frac { 3 } { 4 } | =$$

Evaluate

$$\frac{26}{5}=5.2$$

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 -66 is 66.

$$\frac{66}{5}-\frac{6}{|-\frac{3}{4}|}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{3}{4} is \frac{3}{4}.

$$\frac{66}{5}-\frac{6}{\frac{3}{4}}$$

Divide 6 by \frac{3}{4} by multiplying 6 by the reciprocal of \frac{3}{4}.

$$\frac{66}{5}-6\times \frac{4}{3}$$

Express 6\times \frac{4}{3} as a single fraction.

$$\frac{66}{5}-\frac{6\times 4}{3}$$

Multiply 6 and 4 to get 24.

$$\frac{66}{5}-\frac{24}{3}$$

Divide 24 by 3 to get 8.

$$\frac{66}{5}-8$$

Convert 8 to fraction \frac{40}{5}.

$$\frac{66}{5}-\frac{40}{5}$$

Since \frac{66}{5} and \frac{40}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{66-40}{5}$$

Subtract 40 from 66 to get 26.

$$\frac{26}{5}$$

Factor

$$\frac{2 \cdot 13}{5} = 5\frac{1}{5} = 5.2$$