Solve 2*5*7*(1/2+1/5+1/7)

$$2 \times 5 \times 7 \times ( \frac { 1 } { 2 } + \frac { 1 } { 5 } + \frac { 1 } { 7 } )$$

Evaluate

$$59$$

Solution Steps

Multiply 2 and 5 to get 10.

$$10\times 7\left(\frac{1}{2}+\frac{1}{5}+\frac{1}{7}\right)$$

Multiply 10 and 7 to get 70.

$$70\left(\frac{1}{2}+\frac{1}{5}+\frac{1}{7}\right)$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{1}{5} to fractions with denominator 10.

$$70\left(\frac{5}{10}+\frac{2}{10}+\frac{1}{7}\right)$$

Since \frac{5}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$70\left(\frac{5+2}{10}+\frac{1}{7}\right)$$

Add 5 and 2 to get 7.

$$70\left(\frac{7}{10}+\frac{1}{7}\right)$$

Least common multiple of 10 and 7 is 70. Convert \frac{7}{10} and \frac{1}{7} to fractions with denominator 70.

$$70\left(\frac{49}{70}+\frac{10}{70}\right)$$

Since \frac{49}{70} and \frac{10}{70} have the same denominator, add them by adding their numerators.

$$70\times \frac{49+10}{70}$$

Add 49 and 10 to get 59.

$$70\times \frac{59}{70}$$

Cancel out 70 and 70.

$$59$$

Factor

$$59$$