Solve 3.14*100270/360

$$3.14 \times 100 \frac{ 270 }{ 360 }$$

Evaluate

$$316.355$$

Solution Steps

Multiply 100 and 360 to get 36000.

$$3.14\times \frac{36000+270}{360}$$

Add 36000 and 270 to get 36270.

$$3.14\times \frac{36270}{360}$$

Reduce the fraction \frac{36270}{360} to lowest terms by extracting and canceling out 90.

$$3.14\times \frac{403}{4}$$

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{157}{50}\times \frac{403}{4}$$

Multiply \frac{157}{50} times \frac{403}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 403}{50\times 4}$$

Do the multiplications in the fraction \frac{157\times 403}{50\times 4}.

$$\frac{63271}{200}$$

Factor

$$\frac{13 \cdot 31 \cdot 157}{2 ^ {3} \cdot 5 ^ {2}} = 316\frac{71}{200} = 316.355$$