Solve 44-2*4.2015/0.25*3.14*3.2^2

$$\frac { 44 - 2 \times 4.2015 } { 0.25 \times 3.14 \times 3.2 ^ { 2 } }$$

Evaluate

$$\frac{177985}{40192}\approx 4.42836883$$

Solution Steps

Multiply 2 and 4.2015 to get 8.403.

$$\frac{44-8.403}{0.25\times 3.14\times 3.2^{2}}$$

Subtract 8.403 from 44 to get 35.597.

$$\frac{35.597}{0.25\times 3.14\times 3.2^{2}}$$

Multiply 0.25 and 3.14 to get 0.785.

$$\frac{35.597}{0.785\times 3.2^{2}}$$

Calculate 3.2 to the power of 2 and get 10.24.

$$\frac{35.597}{0.785\times 10.24}$$

Multiply 0.785 and 10.24 to get 8.0384.

$$\frac{35.597}{8.0384}$$

Expand \frac{35.597}{8.0384} by multiplying both numerator and the denominator by 10000.

$$\frac{355970}{80384}$$

Reduce the fraction \frac{355970}{80384} to lowest terms by extracting and canceling out 2.

$$\frac{177985}{40192}$$

Factor

$$\frac{5 \cdot 35597}{157 \cdot 2 ^ {8}} = 4\frac{17217}{40192} = 4.428368829617835$$