Solve 1/3*22/7*20(625+100+25*1

$$\frac{ 1 }{ 3 } \times \frac{ 22 }{ 7 } \times 20(625+100+25 \times 1$$

Evaluate

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

Solution Steps

Multiply \frac{1}{3} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 22}{3\times 7}\times 20\left(625+100+25\times 1\right)$$

Do the multiplications in the fraction \frac{1\times 22}{3\times 7}.

$$\frac{22}{21}\times 20\left(625+100+25\times 1\right)$$

Express \frac{22}{21}\times 20 as a single fraction.

$$\frac{22\times 20}{21}\left(625+100+25\times 1\right)$$

Multiply 22 and 20 to get 440.

$$\frac{440}{21}\left(625+100+25\times 1\right)$$

Add 625 and 100 to get 725.

$$\frac{440}{21}\left(725+25\times 1\right)$$

Multiply 25 and 1 to get 25.

$$\frac{440}{21}\left(725+25\right)$$

Add 725 and 25 to get 750.

$$\frac{440}{21}\times 750$$

Express \frac{440}{21}\times 750 as a single fraction.

$$\frac{440\times 750}{21}$$

Multiply 440 and 750 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

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