Solve 44-2*4.613/0.25*3.14*3.2^2

$$\frac { 44 - 2 \times 4.613 } { 0.25 \times 3.14 \times 3.2 ^ { 2 } }$$

Evaluate

$$\frac{86935}{20096}\approx 4.325985271$$

Solution Steps

Multiply 2 and 4.613 to get 9.226.

$$\frac{44-9.226}{0.25\times 3.14\times 3.2^{2}}$$

Subtract 9.226 from 44 to get 34.774.

$$\frac{34.774}{0.25\times 3.14\times 3.2^{2}}$$

Multiply 0.25 and 3.14 to get 0.785.

$$\frac{34.774}{0.785\times 3.2^{2}}$$

Calculate 3.2 to the power of 2 and get 10.24.

$$\frac{34.774}{0.785\times 10.24}$$

Multiply 0.785 and 10.24 to get 8.0384.

$$\frac{34.774}{8.0384}$$

Expand \frac{34.774}{8.0384} by multiplying both numerator and the denominator by 10000.

$$\frac{347740}{80384}$$

Reduce the fraction \frac{347740}{80384} to lowest terms by extracting and canceling out 4.

$$\frac{86935}{20096}$$

Factor

$$\frac{5 \cdot 17387}{157 \cdot 2 ^ {7}} = 4\frac{6551}{20096} = 4.325985270700637$$