Solve 7/12+2/3-(1/2)^2

$$\frac { 7 } { 12 } + \frac { 2 } { 3 } - ( \frac { 1 } { 2 } ) ^ { 2 }$$

Evaluate

$$1$$

Solution Steps

Least common multiple of 12 and 3 is 12. Convert \frac{7}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{7}{12}+\frac{8}{12}-\left(\frac{1}{2}\right)^{2}$$

Since \frac{7}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{7+8}{12}-\left(\frac{1}{2}\right)^{2}$$

Add 7 and 8 to get 15.

$$\frac{15}{12}-\left(\frac{1}{2}\right)^{2}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

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

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{5}{4}-\frac{1}{4}$$

Since \frac{5}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-1}{4}$$

Subtract 1 from 5 to get 4.

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

Divide 4 by 4 to get 1.

$$1$$

Factor

$$1$$