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

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

Evaluate

$$\frac{1925}{2}=962.5$$

Solution Steps

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

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

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

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

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

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

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

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

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

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

Cancel out 35 in both numerator and denominator.

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

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

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

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

$$\frac{385}{4}\times 10$$

Express \frac{385}{4}\times 10 as a single fraction.

$$\frac{385\times 10}{4}$$

Multiply 385 and 10 to get 3850.

$$\frac{3850}{4}$$

Reduce the fraction \frac{3850}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1925}{2}$$

Factor

$$\frac{5 ^ {2} \cdot 7 \cdot 11}{2} = 962\frac{1}{2} = 962.5$$