Solve 780*(5/12+1/2)

$$780 \times ( \frac { 5 } { 12 } + \frac { 1 } { 2 } )$$

Evaluate

$$715$$

Solution Steps

Least common multiple of 12 and 2 is 12. Convert \frac{5}{12} and \frac{1}{2} to fractions with denominator 12.

$$780\left(\frac{5}{12}+\frac{6}{12}\right)$$

Since \frac{5}{12} and \frac{6}{12} have the same denominator, add them by adding their numerators.

$$780\times \frac{5+6}{12}$$

Add 5 and 6 to get 11.

$$780\times \frac{11}{12}$$

Express 780\times \frac{11}{12} as a single fraction.

$$\frac{780\times 11}{12}$$

Multiply 780 and 11 to get 8580.

$$\frac{8580}{12}$$

Divide 8580 by 12 to get 715.

$$715$$

Factor

$$5\times 11\times 13$$