Solve 60/360*22/7*100*100*3

$$\frac { 60 } { 360 } \times \frac { 22 } { 7 } \times 100 \times 100 \times 3$$

Evaluate

$$\frac{110000}{7}\approx 15714.285714286$$

Solution Steps

Reduce the fraction \frac{60}{360} to lowest terms by extracting and canceling out 60.

$$\frac{1}{6}\times \frac{22}{7}\times 100\times 100\times 3$$

Multiply \frac{1}{6} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 22}{6\times 7}\times 100\times 100\times 3$$

Do the multiplications in the fraction \frac{1\times 22}{6\times 7}.

$$\frac{22}{42}\times 100\times 100\times 3$$

Reduce the fraction \frac{22}{42} to lowest terms by extracting and canceling out 2.

$$\frac{11}{21}\times 100\times 100\times 3$$

Express \frac{11}{21}\times 100 as a single fraction.

$$\frac{11\times 100}{21}\times 100\times 3$$

Multiply 11 and 100 to get 1100.

$$\frac{1100}{21}\times 100\times 3$$

Express \frac{1100}{21}\times 100 as a single fraction.

$$\frac{1100\times 100}{21}\times 3$$

Multiply 1100 and 100 to get 110000.

$$\frac{110000}{21}\times 3$$

Express \frac{110000}{21}\times 3 as a single fraction.

$$\frac{110000\times 3}{21}$$

Multiply 110000 and 3 to get 330000.

$$\frac{330000}{21}$$

Reduce the fraction \frac{330000}{21} to lowest terms by extracting and canceling out 3.

$$\frac{110000}{7}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {4} \cdot 11}{7} = 15714\frac{2}{7} = 15714.285714285714$$