Solve 2[115/360*22/7*25*25]

$$2 [ \frac { 115 } { 360 } \times \frac { 22 } { 7 } \times 25 \times 25 ]$$

Evaluate

$$\frac{158125}{126}\approx 1254.96031746$$

Solution Steps

Reduce the fraction \frac{115}{360} to lowest terms by extracting and canceling out 5.

$$2\times \frac{23}{72}\times \frac{22}{7}\times 25\times 25$$

Express 2\times \frac{23}{72} as a single fraction.

$$\frac{2\times 23}{72}\times \frac{22}{7}\times 25\times 25$$

Multiply 2 and 23 to get 46.

$$\frac{46}{72}\times \frac{22}{7}\times 25\times 25$$

Reduce the fraction \frac{46}{72} to lowest terms by extracting and canceling out 2.

$$\frac{23}{36}\times \frac{22}{7}\times 25\times 25$$

Multiply \frac{23}{36} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 22}{36\times 7}\times 25\times 25$$

Do the multiplications in the fraction \frac{23\times 22}{36\times 7}.

$$\frac{506}{252}\times 25\times 25$$

Reduce the fraction \frac{506}{252} to lowest terms by extracting and canceling out 2.

$$\frac{253}{126}\times 25\times 25$$

Express \frac{253}{126}\times 25 as a single fraction.

$$\frac{253\times 25}{126}\times 25$$

Multiply 253 and 25 to get 6325.

$$\frac{6325}{126}\times 25$$

Express \frac{6325}{126}\times 25 as a single fraction.

$$\frac{6325\times 25}{126}$$

Multiply 6325 and 25 to get 158125.

$$\frac{158125}{126}$$

Factor

$$\frac{5 ^ {4} \cdot 11 \cdot 23}{2 \cdot 3 ^ {2} \cdot 7} = 1254\frac{121}{126} = 1254.9603174603174$$