Solve 1.732*5.8*6/380*(0.0216*0.81+0.0001476*0.31)*100

$$\frac{ 1.732 \times 5.8 \times 6 }{ 380 } \times (0.0216 \times 0.81+0.0001476 \times 0.31) \times 100$$

Evaluate

$$\frac{165203872569}{593750000000}\approx 0.278238101$$

Solution Steps

Multiply 1.732 and 5.8 to get 10.0456.

$$\frac{10.0456\times 6}{380}\left(0.0216\times 0.81+0.0001476\times 0.31\right)\times 100$$

Multiply 10.0456 and 6 to get 60.2736.

$$\frac{60.2736}{380}\left(0.0216\times 0.81+0.0001476\times 0.31\right)\times 100$$

Expand \frac{60.2736}{380} by multiplying both numerator and the denominator by 10000.

$$\frac{602736}{3800000}\left(0.0216\times 0.81+0.0001476\times 0.31\right)\times 100$$

Reduce the fraction \frac{602736}{3800000} to lowest terms by extracting and canceling out 16.

$$\frac{37671}{237500}\left(0.0216\times 0.81+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0216 and 0.81 to get 0.017496.

$$\frac{37671}{237500}\left(0.017496+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0001476 and 0.31 to get 0.000045756.

$$\frac{37671}{237500}\left(0.017496+0.000045756\right)\times 100$$

Add 0.017496 and 0.000045756 to get 0.017541756.

$$\frac{37671}{237500}\times 0.017541756\times 100$$

Convert decimal number 0.017541756 to fraction \frac{17541756}{1000000000}. Reduce the fraction \frac{17541756}{1000000000} to lowest terms by extracting and canceling out 4.

$$\frac{37671}{237500}\times \frac{4385439}{250000000}\times 100$$

Multiply \frac{37671}{237500} times \frac{4385439}{250000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37671\times 4385439}{237500\times 250000000}\times 100$$

Do the multiplications in the fraction \frac{37671\times 4385439}{237500\times 250000000}.

$$\frac{165203872569}{59375000000000}\times 100$$

Express \frac{165203872569}{59375000000000}\times 100 as a single fraction.

$$\frac{165203872569\times 100}{59375000000000}$$

Multiply 165203872569 and 100 to get 16520387256900.

$$\frac{16520387256900}{59375000000000}$$

Reduce the fraction \frac{16520387256900}{59375000000000} to lowest terms by extracting and canceling out 100.

$$\frac{165203872569}{593750000000}$$

Factor

$$\frac{17 \cdot 29 \cdot 433 \cdot 28663 \cdot 3 ^ {3}}{19 \cdot 2 ^ {7} \cdot 5 ^ {12}} = 0.2782381011688421$$