Solve 2*3.14*(55/2/100)*(1600/100)

$$2 * 3.14 * ( 55 / 2 / 100 ) * ( 1600 / 100 )$$

Evaluate

$$27.632$$

Solution Steps

Multiply 2 and 3.14 to get 6.28.

$$6.28\times \frac{\frac{55}{2}}{100}\times \frac{1600}{100}$$

Express \frac{\frac{55}{2}}{100} as a single fraction.

$$6.28\times \frac{55}{2\times 100}\times \frac{1600}{100}$$

Multiply 2 and 100 to get 200.

$$6.28\times \frac{55}{200}\times \frac{1600}{100}$$

Reduce the fraction \frac{55}{200} to lowest terms by extracting and canceling out 5.

$$6.28\times \frac{11}{40}\times \frac{1600}{100}$$

Convert decimal number 6.28 to fraction \frac{628}{100}. Reduce the fraction \frac{628}{100} to lowest terms by extracting and canceling out 4.

$$\frac{157}{25}\times \frac{11}{40}\times \frac{1600}{100}$$

Multiply \frac{157}{25} times \frac{11}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 11}{25\times 40}\times \frac{1600}{100}$$

Do the multiplications in the fraction \frac{157\times 11}{25\times 40}.

$$\frac{1727}{1000}\times \frac{1600}{100}$$

Divide 1600 by 100 to get 16.

$$\frac{1727}{1000}\times 16$$

Express \frac{1727}{1000}\times 16 as a single fraction.

$$\frac{1727\times 16}{1000}$$

Multiply 1727 and 16 to get 27632.

$$\frac{27632}{1000}$$

Reduce the fraction \frac{27632}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{3454}{125}$$

Factor

$$\frac{2 \cdot 11 \cdot 157}{5 ^ {3}} = 27\frac{79}{125} = 27.632$$