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

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

Evaluate

$$\frac{550}{7}\approx 78.571428571$$

Solution Steps

Multiply \frac{35}{7} and \frac{35}{7} to get \left(\frac{35}{7}\right)^{2}.

$$\frac{36}{360}\times \frac{22}{7}\times \left(\frac{35}{7}\right)^{2}\times 10$$

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

$$\frac{1}{10}\times \frac{22}{7}\times \left(\frac{35}{7}\right)^{2}\times 10$$

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

$$\frac{1\times 22}{10\times 7}\times \left(\frac{35}{7}\right)^{2}\times 10$$

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

$$\frac{22}{70}\times \left(\frac{35}{7}\right)^{2}\times 10$$

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

$$\frac{11}{35}\times \left(\frac{35}{7}\right)^{2}\times 10$$

Divide 35 by 7 to get 5.

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

Calculate 5 to the power of 2 and get 25.

$$\frac{11}{35}\times 25\times 10$$

Express \frac{11}{35}\times 25 as a single fraction.

$$\frac{11\times 25}{35}\times 10$$

Multiply 11 and 25 to get 275.

$$\frac{275}{35}\times 10$$

Reduce the fraction \frac{275}{35} to lowest terms by extracting and canceling out 5.

$$\frac{55}{7}\times 10$$

Express \frac{55}{7}\times 10 as a single fraction.

$$\frac{55\times 10}{7}$$

Multiply 55 and 10 to get 550.

$$\frac{550}{7}$$

Factor

$$\frac{2 \cdot 5 ^ {2} \cdot 11}{7} = 78\frac{4}{7} = 78.57142857142857$$