Solve 25+1/2^2-10/aquad*a

$$25 + \frac { 1 } { 2 ^ { 2 } } - \frac { 10 } { a } \quad \cdot a$$

Evaluate

$$\frac{61}{4}=15.25$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$25+\frac{1}{4}-\frac{10}{a}a$$

Convert 25 to fraction \frac{100}{4}.

$$\frac{100}{4}+\frac{1}{4}-\frac{10}{a}a$$

Since \frac{100}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{100+1}{4}-\frac{10}{a}a$$

Add 100 and 1 to get 101.

$$\frac{101}{4}-\frac{10}{a}a$$

Cancel out a and a.

$$\frac{101}{4}-10$$

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

$$\frac{101}{4}-\frac{40}{4}$$

Since \frac{101}{4} and \frac{40}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{101-40}{4}$$

Subtract 40 from 101 to get 61.

$$\frac{61}{4}$$

Factor

$$\frac{61}{2 ^ {2}} = 15\frac{1}{4} = 15.25$$