Solve (5div2)*(5div2)*3.14*10=

$$(5 \div 2) \times (5 \div 2) \times 3.14 \times 10=$$

Evaluate

$$196.25$$

Solution Steps

Multiply \frac{5}{2} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 5}{2\times 2}\times 3.14\times 10$$

Do the multiplications in the fraction \frac{5\times 5}{2\times 2}.

$$\frac{25}{4}\times 3.14\times 10$$

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.

$$\frac{25}{4}\times \frac{157}{50}\times 10$$

Multiply \frac{25}{4} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 157}{4\times 50}\times 10$$

Do the multiplications in the fraction \frac{25\times 157}{4\times 50}.

$$\frac{3925}{200}\times 10$$

Reduce the fraction \frac{3925}{200} to lowest terms by extracting and canceling out 25.

$$\frac{157}{8}\times 10$$

Express \frac{157}{8}\times 10 as a single fraction.

$$\frac{157\times 10}{8}$$

Multiply 157 and 10 to get 1570.

$$\frac{1570}{8}$$

Reduce the fraction \frac{1570}{8} to lowest terms by extracting and canceling out 2.

$$\frac{785}{4}$$

Factor

$$\frac{5 \cdot 157}{2 ^ {2}} = 196\frac{1}{4} = 196.25$$