Solve 213.408*1.02+62.11*1.426/165.681*4.1

$$\frac { 213.408 \times 1.02 + 62.11 \times 1.426 } { 165.681 \times 4.1 }$$

Evaluate

$$\frac{15312251}{33964605}\approx 0.45082965$$

Solution Steps

Multiply 213.408 and 1.02 to get 217.67616.

$$\frac{217.67616+62.11\times 1.426}{165.681\times 4.1}$$

Multiply 62.11 and 1.426 to get 88.56886.

$$\frac{217.67616+88.56886}{165.681\times 4.1}$$

Add 217.67616 and 88.56886 to get 306.24502.

$$\frac{306.24502}{165.681\times 4.1}$$

Multiply 165.681 and 4.1 to get 679.2921.

$$\frac{306.24502}{679.2921}$$

Expand \frac{306.24502}{679.2921} by multiplying both numerator and the denominator by 100000.

$$\frac{30624502}{67929210}$$

Reduce the fraction \frac{30624502}{67929210} to lowest terms by extracting and canceling out 2.

$$\frac{15312251}{33964605}$$

Factor

$$\frac{15312251}{5 \cdot 449 \cdot 3 ^ {2} \cdot 41 ^ {2}} = 0.45082965045523127$$