Solve 37/16*3.14*37/16

$$\frac{ 37 }{ 16 } \times 3.14 \times \frac{ 37 }{ 16 }$$

Evaluate

$$16.791640625$$

Solution Steps

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.

$$\frac{37}{16}\times \frac{157}{50}\times \frac{37}{16}$$

Multiply \frac{37}{16} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37\times 157}{16\times 50}\times \frac{37}{16}$$

Do the multiplications in the fraction \frac{37\times 157}{16\times 50}.

$$\frac{5809}{800}\times \frac{37}{16}$$

Multiply \frac{5809}{800} times \frac{37}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5809\times 37}{800\times 16}$$

Do the multiplications in the fraction \frac{5809\times 37}{800\times 16}.

$$\frac{214933}{12800}$$

Factor

$$\frac{157 \cdot 37 ^ {2}}{2 ^ {9} \cdot 5 ^ {2}} = 16\frac{10133}{12800} = 16.791640625$$