Solve 1.732*7.2*6/380*(0.0216*0.84+0.0001476*0.31)*100

$$\frac{ 1.732 \times 7.2 \times 6 }{ 380 } \times (0.0216 \times 0.84+0.0001476 \times 0.31) \times 100$$

Evaluate

$$\frac{53164109349}{148437500000}\approx 0.35815821$$

Solution Steps

Multiply 1.732 and 7.2 to get 12.4704.

$$\frac{12.4704\times 6}{380}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

Multiply 12.4704 and 6 to get 74.8224.

$$\frac{74.8224}{380}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

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

$$\frac{748224}{3800000}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

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

$$\frac{11691}{59375}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0216 and 0.84 to get 0.018144.

$$\frac{11691}{59375}\left(0.018144+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0001476 and 0.31 to get 0.000045756.

$$\frac{11691}{59375}\left(0.018144+0.000045756\right)\times 100$$

Add 0.018144 and 0.000045756 to get 0.018189756.

$$\frac{11691}{59375}\times 0.018189756\times 100$$

Convert decimal number 0.018189756 to fraction \frac{18189756}{1000000000}. Reduce the fraction \frac{18189756}{1000000000} to lowest terms by extracting and canceling out 4.

$$\frac{11691}{59375}\times \frac{4547439}{250000000}\times 100$$

Multiply \frac{11691}{59375} times \frac{4547439}{250000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11691\times 4547439}{59375\times 250000000}\times 100$$

Do the multiplications in the fraction \frac{11691\times 4547439}{59375\times 250000000}.

$$\frac{53164109349}{14843750000000}\times 100$$

Express \frac{53164109349}{14843750000000}\times 100 as a single fraction.

$$\frac{53164109349\times 100}{14843750000000}$$

Multiply 53164109349 and 100 to get 5316410934900.

$$\frac{5316410934900}{14843750000000}$$

Reduce the fraction \frac{5316410934900}{14843750000000} to lowest terms by extracting and canceling out 100.

$$\frac{53164109349}{148437500000}$$

Factor

$$\frac{13 \cdot 433 \cdot 38867 \cdot 3 ^ {5}}{19 \cdot 2 ^ {5} \cdot 5 ^ {12}} = 0.3581582103511579$$