Solve {l}{33.124*0.246+98.519*(0.85+0.499)}{+405.061*(2.401+0.499+8-1.6-4.6)}{+110.218*(1.566+0.499+8-1.6-4.6+5.5)}

$$\left. \begin{array} { l } { 33.124 \times 0.246 + 98.519 \times ( 0.85 + 0.499 ) } \\ { + 405.061 \times ( 2.401 + 0.499 + 8 - 1.6 - 4.6 ) } \\ { + 110.218 \times ( 1.566 + 0.499 + 8 - 1.6 - 4.6 + 5.5 ) } \end{array} \right.$$

Evaluate

$$3077.028905$$

Solution Steps

Multiply 33.124 and 0.246 to get 8.148504.

$$8.148504+98.519\left(0.85+0.499\right)+405.061\left(2.401+0.499+8-1.6-4.6\right)+110.218\left(1.566+0.499+8-1.6-4.6+5.5\right)$$

Add 0.85 and 0.499 to get 1.349.

$$8.148504+98.519\times 1.349+405.061\left(2.401+0.499+8-1.6-4.6\right)+110.218\left(1.566+0.499+8-1.6-4.6+5.5\right)$$

Multiply 98.519 and 1.349 to get 132.902131.

$$8.148504+132.902131+405.061\left(2.401+0.499+8-1.6-4.6\right)+110.218\left(1.566+0.499+8-1.6-4.6+5.5\right)$$

Add 8.148504 and 132.902131 to get 141.050635.

$$141.050635+405.061\left(2.401+0.499+8-1.6-4.6\right)+110.218\left(1.566+0.499+8-1.6-4.6+5.5\right)$$

Add 2.401 and 0.499 to get 2.9.

$$141.050635+405.061\left(2.9+8-1.6-4.6\right)+110.218\left(1.566+0.499+8-1.6-4.6+5.5\right)$$

Add 2.9 and 8 to get 10.9.

$$141.050635+405.061\left(10.9-1.6-4.6\right)+110.218\left(1.566+0.499+8-1.6-4.6+5.5\right)$$

Subtract 1.6 from 10.9 to get 9.3.

$$141.050635+405.061\left(9.3-4.6\right)+110.218\left(1.566+0.499+8-1.6-4.6+5.5\right)$$

Subtract 4.6 from 9.3 to get 4.7.

$$141.050635+405.061\times 4.7+110.218\left(1.566+0.499+8-1.6-4.6+5.5\right)$$

Multiply 405.061 and 4.7 to get 1903.7867.

$$141.050635+1903.7867+110.218\left(1.566+0.499+8-1.6-4.6+5.5\right)$$

Add 141.050635 and 1903.7867 to get 2044.837335.

$$2044.837335+110.218\left(1.566+0.499+8-1.6-4.6+5.5\right)$$

Add 1.566 and 0.499 to get 2.065.

$$2044.837335+110.218\left(2.065+8-1.6-4.6+5.5\right)$$

Add 2.065 and 8 to get 10.065.

$$2044.837335+110.218\left(10.065-1.6-4.6+5.5\right)$$

Subtract 1.6 from 10.065 to get 8.465.

$$2044.837335+110.218\left(8.465-4.6+5.5\right)$$

Subtract 4.6 from 8.465 to get 3.865.

$$2044.837335+110.218\left(3.865+5.5\right)$$

Add 3.865 and 5.5 to get 9.365.

$$2044.837335+110.218\times 9.365$$

Multiply 110.218 and 9.365 to get 1032.19157.

$$2044.837335+1032.19157$$

Add 2044.837335 and 1032.19157 to get 3077.028905.

$$3077.028905$$

Factor

$$\frac{29 \cdot 137 \cdot 154897}{2 ^ {6} \cdot 5 ^ {5}} = 3077\frac{5781}{200000} = 3077.028905$$