Solve 2725.5*3.14/frac{4{}}

$$2725.5 \times \frac{ 3.14 }{ \frac{ 4 }{ } }$$

Evaluate

$$2139.5175$$

Solution Steps

Divide 3.14 by \frac{4}{1} by multiplying 3.14 by the reciprocal of \frac{4}{1}.

$$2725.5\times \frac{3.14}{4}$$

Expand \frac{3.14}{4} by multiplying both numerator and the denominator by 100.

$$2725.5\times \frac{314}{400}$$

Reduce the fraction \frac{314}{400} to lowest terms by extracting and canceling out 2.

$$2725.5\times \frac{157}{200}$$

Convert decimal number 2725.5 to fraction \frac{27255}{10}. Reduce the fraction \frac{27255}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5451}{2}\times \frac{157}{200}$$

Multiply \frac{5451}{2} times \frac{157}{200} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5451\times 157}{2\times 200}$$

Do the multiplications in the fraction \frac{5451\times 157}{2\times 200}.

$$\frac{855807}{400}$$

Factor

$$\frac{3 \cdot 23 \cdot 79 \cdot 157}{2 ^ {4} \cdot 5 ^ {2}} = 2139\frac{207}{400} = 2139.5175$$