Solve 1.732*7.2*6/380*(21.6*0.84+0.1476*0.31)

$$\frac{ 1.732 \times 7.2 \times 6 }{ 380 } \times (21.6 \times 0.84+0.1476 \times 0.31)$$

Evaluate

$$\frac{53164109349}{14843750000}\approx 3.581582104$$

Solution Steps

Multiply 1.732 and 7.2 to get 12.4704.

$$\frac{12.4704\times 6}{380}\left(21.6\times 0.84+0.1476\times 0.31\right)$$

Multiply 12.4704 and 6 to get 74.8224.

$$\frac{74.8224}{380}\left(21.6\times 0.84+0.1476\times 0.31\right)$$

Expand \frac{74.8224}{380} by multiplying both numerator and the denominator by 10000.

$$\frac{748224}{3800000}\left(21.6\times 0.84+0.1476\times 0.31\right)$$

Reduce the fraction \frac{748224}{3800000} to lowest terms by extracting and canceling out 64.

$$\frac{11691}{59375}\left(21.6\times 0.84+0.1476\times 0.31\right)$$

Multiply 21.6 and 0.84 to get 18.144.

$$\frac{11691}{59375}\left(18.144+0.1476\times 0.31\right)$$

Multiply 0.1476 and 0.31 to get 0.045756.

$$\frac{11691}{59375}\left(18.144+0.045756\right)$$

Add 18.144 and 0.045756 to get 18.189756.

$$\frac{11691}{59375}\times 18.189756$$

Convert decimal number 18.189756 to fraction \frac{18189756}{1000000}. Reduce the fraction \frac{18189756}{1000000} to lowest terms by extracting and canceling out 4.

$$\frac{11691}{59375}\times \frac{4547439}{250000}$$

Multiply \frac{11691}{59375} times \frac{4547439}{250000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11691\times 4547439}{59375\times 250000}$$

Do the multiplications in the fraction \frac{11691\times 4547439}{59375\times 250000}.

$$\frac{53164109349}{14843750000}$$

Factor

$$\frac{13 \cdot 433 \cdot 38867 \cdot 3 ^ {5}}{19 \cdot 2 ^ {4} \cdot 5 ^ {11}} = 3\frac{8632859349}{14843750000} = 3.581582103511579$$