Solve 5-(61/4-21/2)

$$5-( 6 \frac { 1 } { 4 } - 2 \frac { 1 } { 2 } )$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Multiply 6 and 4 to get 24.

$$5-\left(\frac{24+1}{4}-\frac{2\times 2+1}{2}\right)$$

Add 24 and 1 to get 25.

$$5-\left(\frac{25}{4}-\frac{2\times 2+1}{2}\right)$$

Multiply 2 and 2 to get 4.

$$5-\left(\frac{25}{4}-\frac{4+1}{2}\right)$$

Add 4 and 1 to get 5.

$$5-\left(\frac{25}{4}-\frac{5}{2}\right)$$

Least common multiple of 4 and 2 is 4. Convert \frac{25}{4} and \frac{5}{2} to fractions with denominator 4.

$$5-\left(\frac{25}{4}-\frac{10}{4}\right)$$

Since \frac{25}{4} and \frac{10}{4} have the same denominator, subtract them by subtracting their numerators.

$$5-\frac{25-10}{4}$$

Subtract 10 from 25 to get 15.

$$5-\frac{15}{4}$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{20}{4}-\frac{15}{4}$$

Since \frac{20}{4} and \frac{15}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-15}{4}$$

Subtract 15 from 20 to get 5.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$