Solve 44-2*1.5459/0.25*3.14*2.2^2

$$\frac { 44 - 2 \times 1.5459 } { 0.25 \times 3.14 \times 2.2 ^ { 2 } }$$

Evaluate

$$\frac{204541}{18997}\approx 10.767015845$$

Solution Steps

Multiply 2 and 1.5459 to get 3.0918.

$$\frac{44-3.0918}{0.25\times 3.14\times 2.2^{2}}$$

Subtract 3.0918 from 44 to get 40.9082.

$$\frac{40.9082}{0.25\times 3.14\times 2.2^{2}}$$

Multiply 0.25 and 3.14 to get 0.785.

$$\frac{40.9082}{0.785\times 2.2^{2}}$$

Calculate 2.2 to the power of 2 and get 4.84.

$$\frac{40.9082}{0.785\times 4.84}$$

Multiply 0.785 and 4.84 to get 3.7994.

$$\frac{40.9082}{3.7994}$$

Expand \frac{40.9082}{3.7994} by multiplying both numerator and the denominator by 10000.

$$\frac{409082}{37994}$$

Reduce the fraction \frac{409082}{37994} to lowest terms by extracting and canceling out 2.

$$\frac{204541}{18997}$$

Factor

$$\frac{137 \cdot 1493}{157 \cdot 11 ^ {2}} = 10\frac{14571}{18997} = 10.767015844607043$$