Solve |1/4+10|_{16}

$$| 1 / 4 + 10 | _ { 16 }$$

Evaluate

$$\frac{41}{4}=10.25$$

Solution Steps

Convert 10 to fraction \frac{40}{4}.

$$|\frac{1}{4}+\frac{40}{4}|$$

Since \frac{1}{4} and \frac{40}{4} have the same denominator, add them by adding their numerators.

$$|\frac{1+40}{4}|$$

Add 1 and 40 to get 41.

$$|\frac{41}{4}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{41}{4} is \frac{41}{4}.

$$\frac{41}{4}$$

Factor

$$\frac{41}{2 ^ {2}} = 10\frac{1}{4} = 10.25$$