Solve |20|-6*|-15/6|-|-1/4|=

$$| 20 | - 6 \cdot | - 1 \frac { 5 } { 6 } | - | - \frac { 1 } { 4 } | =$$

Evaluate

$$\frac{35}{4}=8.75$$

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 20 is 20.

$$20-6|-\frac{1\times 6+5}{6}|-|-\frac{1}{4}|$$

Multiply 1 and 6 to get 6.

$$20-6|-\frac{6+5}{6}|-|-\frac{1}{4}|$$

Add 6 and 5 to get 11.

$$20-6|-\frac{11}{6}|-|-\frac{1}{4}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{11}{6} is \frac{11}{6}.

$$20-6\times \frac{11}{6}-|-\frac{1}{4}|$$

Cancel out 6 and 6.

$$20-11-|-\frac{1}{4}|$$

Subtract 11 from 20 to get 9.

$$9-|-\frac{1}{4}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{1}{4} is \frac{1}{4}.

$$9-\frac{1}{4}$$

Convert 9 to fraction \frac{36}{4}.

$$\frac{36}{4}-\frac{1}{4}$$

Since \frac{36}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-1}{4}$$

Subtract 1 from 36 to get 35.

$$\frac{35}{4}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2}} = 8\frac{3}{4} = 8.75$$