Solve 2*(13+7)+2(1/2*2*22/7*35/10

$$2 \times (13+7)+2( \frac{ 1 }{ 2 } \times 2 \times \frac{ 22 }{ 7 } \times \frac{ 35 }{ 10 }$$

Evaluate

$$62$$

Solution Steps

Add 13 and 7 to get 20.

$$2\times 20+2\times \frac{1}{2}\times 2\times \frac{22}{7}\times \frac{35}{10}$$

Multiply 2 and 20 to get 40.

$$40+2\times \frac{1}{2}\times 2\times \frac{22}{7}\times \frac{35}{10}$$

Cancel out 2 and 2.

$$40+2\times \frac{22}{7}\times \frac{35}{10}$$

Express 2\times \frac{22}{7} as a single fraction.

$$40+\frac{2\times 22}{7}\times \frac{35}{10}$$

Multiply 2 and 22 to get 44.

$$40+\frac{44}{7}\times \frac{35}{10}$$

Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$40+\frac{44}{7}\times \frac{7}{2}$$

Multiply \frac{44}{7} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$40+\frac{44\times 7}{7\times 2}$$

Cancel out 7 in both numerator and denominator.

$$40+\frac{44}{2}$$

Divide 44 by 2 to get 22.

$$40+22$$

Add 40 and 22 to get 62.

$$62$$

Factor

$$2\times 31$$