Solve 2*3.1*3/220*(21.6*0.76+0.1476*0.31)

$$\frac{ 2 \times 3.1 \times 3 }{ 220 } \times (21.6 \times 0.76+0.1476 \times 0.31)$$

Evaluate

$$\frac{382735827}{275000000}\approx 1.391766644$$

Solution Steps

Multiply 2 and 3.1 to get 6.2.

$$\frac{6.2\times 3}{220}\left(21.6\times 0.76+0.1476\times 0.31\right)$$

Multiply 6.2 and 3 to get 18.6.

$$\frac{18.6}{220}\left(21.6\times 0.76+0.1476\times 0.31\right)$$

Expand \frac{18.6}{220} by multiplying both numerator and the denominator by 10.

$$\frac{186}{2200}\left(21.6\times 0.76+0.1476\times 0.31\right)$$

Reduce the fraction \frac{186}{2200} to lowest terms by extracting and canceling out 2.

$$\frac{93}{1100}\left(21.6\times 0.76+0.1476\times 0.31\right)$$

Multiply 21.6 and 0.76 to get 16.416.

$$\frac{93}{1100}\left(16.416+0.1476\times 0.31\right)$$

Multiply 0.1476 and 0.31 to get 0.045756.

$$\frac{93}{1100}\left(16.416+0.045756\right)$$

Add 16.416 and 0.045756 to get 16.461756.

$$\frac{93}{1100}\times 16.461756$$

Convert decimal number 16.461756 to fraction \frac{16461756}{1000000}. Reduce the fraction \frac{16461756}{1000000} to lowest terms by extracting and canceling out 4.

$$\frac{93}{1100}\times \frac{4115439}{250000}$$

Multiply \frac{93}{1100} times \frac{4115439}{250000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{93\times 4115439}{1100\times 250000}$$

Do the multiplications in the fraction \frac{93\times 4115439}{1100\times 250000}.

$$\frac{382735827}{275000000}$$

Factor

$$\frac{31 \cdot 457271 \cdot 3 ^ {3}}{11 \cdot 2 ^ {6} \cdot 5 ^ {8}} = 1\frac{107735827}{275000000} = 1.3917666436363636$$