Solve 1.732*10.6*15/380*(0.0216*0.82+0.0001476*0.31)*100

$$\frac{ 1.732 \times 10.6 \times 15 }{ 380 } \times (0.0216 \times 0.82+0.0001476 \times 0.31) \times 100$$

Evaluate

$$\frac{305642056833}{237500000000}\approx 1.286913924$$

Solution Steps

Multiply 1.732 and 10.6 to get 18.3592.

$$\frac{18.3592\times 15}{380}\left(0.0216\times 0.82+0.0001476\times 0.31\right)\times 100$$

Multiply 18.3592 and 15 to get 275.388.

$$\frac{275.388}{380}\left(0.0216\times 0.82+0.0001476\times 0.31\right)\times 100$$

Expand \frac{275.388}{380} by multiplying both numerator and the denominator by 1000.

$$\frac{275388}{380000}\left(0.0216\times 0.82+0.0001476\times 0.31\right)\times 100$$

Reduce the fraction \frac{275388}{380000} to lowest terms by extracting and canceling out 4.

$$\frac{68847}{95000}\left(0.0216\times 0.82+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0216 and 0.82 to get 0.017712.

$$\frac{68847}{95000}\left(0.017712+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0001476 and 0.31 to get 0.000045756.

$$\frac{68847}{95000}\left(0.017712+0.000045756\right)\times 100$$

Add 0.017712 and 0.000045756 to get 0.017757756.

$$\frac{68847}{95000}\times 0.017757756\times 100$$

Convert decimal number 0.017757756 to fraction \frac{17757756}{1000000000}. Reduce the fraction \frac{17757756}{1000000000} to lowest terms by extracting and canceling out 4.

$$\frac{68847}{95000}\times \frac{4439439}{250000000}\times 100$$

Multiply \frac{68847}{95000} times \frac{4439439}{250000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{68847\times 4439439}{95000\times 250000000}\times 100$$

Do the multiplications in the fraction \frac{68847\times 4439439}{95000\times 250000000}.

$$\frac{305642056833}{23750000000000}\times 100$$

Express \frac{305642056833}{23750000000000}\times 100 as a single fraction.

$$\frac{305642056833\times 100}{23750000000000}$$

Multiply 305642056833 and 100 to get 30564205683300.

$$\frac{30564205683300}{23750000000000}$$

Reduce the fraction \frac{30564205683300}{23750000000000} to lowest terms by extracting and canceling out 100.

$$\frac{305642056833}{237500000000}$$

Factor

$$\frac{41 \cdot 227 \cdot 433 \cdot 3 ^ {3} \cdot 53 ^ {2}}{19 \cdot 2 ^ {8} \cdot 5 ^ {11}} = 1\frac{68142056833}{237500000000} = 1.2869139235073683$$