Solve 1.732*2.5*20/380*(0.0216*0.72+0.0001476*0.31)*100

$$\frac{ 1.732 \times 2.5 \times 20 }{ 380 } \times (0.0216 \times 0.72+0.0001476 \times 0.31) \times 100$$

Evaluate

$$\frac{1688457087}{4750000000}\approx 0.35546465$$

Solution Steps

Multiply 1.732 and 2.5 to get 4.33.

$$\frac{4.33\times 20}{380}\left(0.0216\times 0.72+0.0001476\times 0.31\right)\times 100$$

Multiply 4.33 and 20 to get 86.6.

$$\frac{86.6}{380}\left(0.0216\times 0.72+0.0001476\times 0.31\right)\times 100$$

Expand \frac{86.6}{380} by multiplying both numerator and the denominator by 10.

$$\frac{866}{3800}\left(0.0216\times 0.72+0.0001476\times 0.31\right)\times 100$$

Reduce the fraction \frac{866}{3800} to lowest terms by extracting and canceling out 2.

$$\frac{433}{1900}\left(0.0216\times 0.72+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0216 and 0.72 to get 0.015552.

$$\frac{433}{1900}\left(0.015552+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0001476 and 0.31 to get 0.000045756.

$$\frac{433}{1900}\left(0.015552+0.000045756\right)\times 100$$

Add 0.015552 and 0.000045756 to get 0.015597756.

$$\frac{433}{1900}\times 0.015597756\times 100$$

Convert decimal number 0.015597756 to fraction \frac{15597756}{1000000000}. Reduce the fraction \frac{15597756}{1000000000} to lowest terms by extracting and canceling out 4.

$$\frac{433}{1900}\times \frac{3899439}{250000000}\times 100$$

Multiply \frac{433}{1900} times \frac{3899439}{250000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{433\times 3899439}{1900\times 250000000}\times 100$$

Do the multiplications in the fraction \frac{433\times 3899439}{1900\times 250000000}.

$$\frac{1688457087}{475000000000}\times 100$$

Express \frac{1688457087}{475000000000}\times 100 as a single fraction.

$$\frac{1688457087\times 100}{475000000000}$$

Multiply 1688457087 and 100 to get 168845708700.

$$\frac{168845708700}{475000000000}$$

Reduce the fraction \frac{168845708700}{475000000000} to lowest terms by extracting and canceling out 100.

$$\frac{1688457087}{4750000000}$$

Factor

$$\frac{433 \cdot 433271 \cdot 3 ^ {2}}{19 \cdot 2 ^ {7} \cdot 5 ^ {9}} = 0.35546464989473686$$