Solve 36/360*22/7*35/7*35/2*10

$$\frac{ 36 }{ 360 } \times \frac{ 22 }{ 7 } \times \frac{ 35 }{ 7 } \times \frac{ 35 }{ 2 } \times 10$$

Evaluate

$$275$$

Solution Steps

Reduce the fraction \frac{36}{360} to lowest terms by extracting and canceling out 36.

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

Multiply \frac{1}{10} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 22}{10\times 7}.

$$\frac{22}{70}\times \frac{35}{7}\times \frac{35}{2}\times 10$$

Reduce the fraction \frac{22}{70} to lowest terms by extracting and canceling out 2.

$$\frac{11}{35}\times \frac{35}{7}\times \frac{35}{2}\times 10$$

Divide 35 by 7 to get 5.

$$\frac{11}{35}\times 5\times \frac{35}{2}\times 10$$

Express \frac{11}{35}\times 5 as a single fraction.

$$\frac{11\times 5}{35}\times \frac{35}{2}\times 10$$

Multiply 11 and 5 to get 55.

$$\frac{55}{35}\times \frac{35}{2}\times 10$$

Reduce the fraction \frac{55}{35} to lowest terms by extracting and canceling out 5.

$$\frac{11}{7}\times \frac{35}{2}\times 10$$

Multiply \frac{11}{7} times \frac{35}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 35}{7\times 2}\times 10$$

Do the multiplications in the fraction \frac{11\times 35}{7\times 2}.

$$\frac{385}{14}\times 10$$

Reduce the fraction \frac{385}{14} to lowest terms by extracting and canceling out 7.

$$\frac{55}{2}\times 10$$

Express \frac{55}{2}\times 10 as a single fraction.

$$\frac{55\times 10}{2}$$

Multiply 55 and 10 to get 550.

$$\frac{550}{2}$$

Divide 550 by 2 to get 275.

$$275$$

Factor

$$5^{2}\times 11$$