Solve 1.732*15.5*20/380(0.0216*0.84+0.0001476*0.31)*100

$$\frac{ 1.732 \times 15.5 \times 20 }{ 380 } (0.0216 \times 0.84+0.0001476 \times 0.31) \times 100$$

Evaluate

$$\frac{61040273697}{23750000000}\approx 2.570116787$$

Solution Steps

Multiply 1.732 and 15.5 to get 26.846.

$$\frac{26.846\times 20}{380}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

Multiply 26.846 and 20 to get 536.92.

$$\frac{536.92}{380}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

Expand \frac{536.92}{380} by multiplying both numerator and the denominator by 100.

$$\frac{53692}{38000}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

Reduce the fraction \frac{53692}{38000} to lowest terms by extracting and canceling out 4.

$$\frac{13423}{9500}\left(0.0216\times 0.84+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0216 and 0.84 to get 0.018144.

$$\frac{13423}{9500}\left(0.018144+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0001476 and 0.31 to get 0.000045756.

$$\frac{13423}{9500}\left(0.018144+0.000045756\right)\times 100$$

Add 0.018144 and 0.000045756 to get 0.018189756.

$$\frac{13423}{9500}\times 0.018189756\times 100$$

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.

$$\frac{13423}{9500}\times \frac{4547439}{250000000}\times 100$$

Multiply \frac{13423}{9500} times \frac{4547439}{250000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13423\times 4547439}{9500\times 250000000}\times 100$$

Do the multiplications in the fraction \frac{13423\times 4547439}{9500\times 250000000}.

$$\frac{61040273697}{2375000000000}\times 100$$

Express \frac{61040273697}{2375000000000}\times 100 as a single fraction.

$$\frac{61040273697\times 100}{2375000000000}$$

Multiply 61040273697 and 100 to get 6104027369700.

$$\frac{6104027369700}{2375000000000}$$

Reduce the fraction \frac{6104027369700}{2375000000000} to lowest terms by extracting and canceling out 100.

$$\frac{61040273697}{23750000000}$$

Factor

$$\frac{13 \cdot 31 \cdot 433 \cdot 38867 \cdot 3 ^ {2}}{19 \cdot 2 ^ {7} \cdot 5 ^ {10}} = 2\frac{13540273697}{23750000000} = 2.5701167872421053$$