Solve 1.732*54.2*12/380(0.0036*0.94+0.000119*0.31)*100

$$\frac{ 1.732 \times 54.2 \times 12 }{ 380 } (0.0036 \times 0.94+0.000119 \times 0.31) \times 100$$

Evaluate

$$\frac{120425248581}{118750000000}\approx 1.014107356$$

Solution Steps

Multiply 1.732 and 54.2 to get 93.8744.

$$\frac{93.8744\times 12}{380}\left(0.0036\times 0.94+0.000119\times 0.31\right)\times 100$$

Multiply 93.8744 and 12 to get 1126.4928.

$$\frac{1126.4928}{380}\left(0.0036\times 0.94+0.000119\times 0.31\right)\times 100$$

Expand \frac{1126.4928}{380} by multiplying both numerator and the denominator by 10000.

$$\frac{11264928}{3800000}\left(0.0036\times 0.94+0.000119\times 0.31\right)\times 100$$

Reduce the fraction \frac{11264928}{3800000} to lowest terms by extracting and canceling out 32.

$$\frac{352029}{118750}\left(0.0036\times 0.94+0.000119\times 0.31\right)\times 100$$

Multiply 0.0036 and 0.94 to get 0.003384.

$$\frac{352029}{118750}\left(0.003384+0.000119\times 0.31\right)\times 100$$

Multiply 0.000119 and 0.31 to get 0.00003689.

$$\frac{352029}{118750}\left(0.003384+0.00003689\right)\times 100$$

Add 0.003384 and 0.00003689 to get 0.00342089.

$$\frac{352029}{118750}\times 0.00342089\times 100$$

Convert decimal number 0.00342089 to fraction \frac{342089}{100000000}.

$$\frac{352029}{118750}\times \frac{342089}{100000000}\times 100$$

Multiply \frac{352029}{118750} times \frac{342089}{100000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{352029\times 342089}{118750\times 100000000}\times 100$$

Do the multiplications in the fraction \frac{352029\times 342089}{118750\times 100000000}.

$$\frac{120425248581}{11875000000000}\times 100$$

Express \frac{120425248581}{11875000000000}\times 100 as a single fraction.

$$\frac{120425248581\times 100}{11875000000000}$$

Multiply 120425248581 and 100 to get 12042524858100.

$$\frac{12042524858100}{11875000000000}$$

Reduce the fraction \frac{12042524858100}{11875000000000} to lowest terms by extracting and canceling out 100.

$$\frac{120425248581}{118750000000}$$

Factor

$$\frac{3 \cdot 11 \cdot 137 \cdot 227 \cdot 271 \cdot 433}{19 \cdot 2 ^ {7} \cdot 5 ^ {11}} = 1\frac{1675248581}{118750000000} = 1.014107356471579$$