Solve (2/3+1/4)*5/5

$$( \frac { 2 } { 3 } + \frac { 1 } { 4 } ) \times \frac { 5 } { 5 }$$

Evaluate

$$\frac{11}{12}\approx 0.916666667$$

Solution Steps

Divide 5 by 5 to get 1.

$$\left(\frac{2}{3}+\frac{1}{4}\right)\times 1$$

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\left(\frac{8}{12}+\frac{3}{12}\right)\times 1$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{12}\times 1$$

Add 8 and 3 to get 11.

$$\frac{11}{12}\times 1$$

Multiply \frac{11}{12} and 1 to get \frac{11}{12}.

$$\frac{11}{12}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3} = 0.9166666666666666$$