Solve 1.732*30.6*8/380*(0.00865*0.88+0.000134*0.31)*100

$$\frac{ 1.732 \times 30.6 \times 8 }{ 380 } \times (0.00865 \times 0.88+0.000134 \times 0.31) \times 100$$

Evaluate

$$\frac{25351968573}{29687500000}\approx 0.853961047$$

Solution Steps

Multiply 1.732 and 30.6 to get 52.9992.

$$\frac{52.9992\times 8}{380}\left(0.00865\times 0.88+0.000134\times 0.31\right)\times 100$$

Multiply 52.9992 and 8 to get 423.9936.

$$\frac{423.9936}{380}\left(0.00865\times 0.88+0.000134\times 0.31\right)\times 100$$

Expand \frac{423.9936}{380} by multiplying both numerator and the denominator by 10000.

$$\frac{4239936}{3800000}\left(0.00865\times 0.88+0.000134\times 0.31\right)\times 100$$

Reduce the fraction \frac{4239936}{3800000} to lowest terms by extracting and canceling out 64.

$$\frac{66249}{59375}\left(0.00865\times 0.88+0.000134\times 0.31\right)\times 100$$

Multiply 0.00865 and 0.88 to get 0.007612.

$$\frac{66249}{59375}\left(0.007612+0.000134\times 0.31\right)\times 100$$

Multiply 0.000134 and 0.31 to get 0.00004154.

$$\frac{66249}{59375}\left(0.007612+0.00004154\right)\times 100$$

Add 0.007612 and 0.00004154 to get 0.00765354.

$$\frac{66249}{59375}\times 0.00765354\times 100$$

Convert decimal number 0.00765354 to fraction \frac{765354}{100000000}. Reduce the fraction \frac{765354}{100000000} to lowest terms by extracting and canceling out 2.

$$\frac{66249}{59375}\times \frac{382677}{50000000}\times 100$$

Multiply \frac{66249}{59375} times \frac{382677}{50000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{66249\times 382677}{59375\times 50000000}\times 100$$

Do the multiplications in the fraction \frac{66249\times 382677}{59375\times 50000000}.

$$\frac{25351968573}{2968750000000}\times 100$$

Express \frac{25351968573}{2968750000000}\times 100 as a single fraction.

$$\frac{25351968573\times 100}{2968750000000}$$

Multiply 25351968573 and 100 to get 2535196857300.

$$\frac{2535196857300}{2968750000000}$$

Reduce the fraction \frac{2535196857300}{2968750000000} to lowest terms by extracting and canceling out 100.

$$\frac{25351968573}{29687500000}$$

Factor

$$\frac{17 \cdot 199 \cdot 433 \cdot 641 \cdot 3 ^ {3}}{19 \cdot 2 ^ {5} \cdot 5 ^ {11}} = 0.8539610466694737$$