Solve 44-2*3.8170/0.25*3.14*3.0^2

$$\frac { 44 - 2 \times 3.8170 } { 0.25 \times 3.14 \times 3.0 ^ { 2 } }$$

Evaluate

$$\frac{12122}{2355}\approx 5.147346072$$

Solution Steps

Multiply 2 and 3.817 to get 7.634.

$$\frac{44-7.634}{0.25\times 3.14\times 3^{2}}$$

Subtract 7.634 from 44 to get 36.366.

$$\frac{36.366}{0.25\times 3.14\times 3^{2}}$$

Multiply 0.25 and 3.14 to get 0.785.

$$\frac{36.366}{0.785\times 3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{36.366}{0.785\times 9}$$

Multiply 0.785 and 9 to get 7.065.

$$\frac{36.366}{7.065}$$

Expand \frac{36.366}{7.065} by multiplying both numerator and the denominator by 1000.

$$\frac{36366}{7065}$$

Reduce the fraction \frac{36366}{7065} to lowest terms by extracting and canceling out 3.

$$\frac{12122}{2355}$$

Factor

$$\frac{2 \cdot 11 \cdot 19 \cdot 29}{3 \cdot 5 \cdot 157} = 5\frac{347}{2355} = 5.147346072186837$$