Solve 3/4*3.1416*10^3

$$\frac{ 3 }{ 4 } \times 3.1416 \times { 10 }^{ 3 }$$

Evaluate

$$2356.2$$

Solution Steps

Convert decimal number 3.1416 to fraction \frac{31416}{10000}. Reduce the fraction \frac{31416}{10000} to lowest terms by extracting and canceling out 8.

$$\frac{3}{4}\times \frac{3927}{1250}\times 10^{3}$$

Multiply \frac{3}{4} times \frac{3927}{1250} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3927}{4\times 1250}\times 10^{3}$$

Do the multiplications in the fraction \frac{3\times 3927}{4\times 1250}.

$$\frac{11781}{5000}\times 10^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{11781}{5000}\times 1000$$

Express \frac{11781}{5000}\times 1000 as a single fraction.

$$\frac{11781\times 1000}{5000}$$

Multiply 11781 and 1000 to get 11781000.

$$\frac{11781000}{5000}$$

Reduce the fraction \frac{11781000}{5000} to lowest terms by extracting and canceling out 1000.

$$\frac{11781}{5}$$

Factor

$$\frac{7 \cdot 11 \cdot 17 \cdot 3 ^ {2}}{5} = 2356\frac{1}{5} = 2356.2$$