Solve 1.732*30.6*8/380left(8.65*0.88+0.134*0.31right)

$$\frac{ 1.732 \times 30.6 \cdot 8 }{ 380 } \left( 8.65 \cdot 0.88+0.134 \cdot 0.31 \right)$$

Evaluate

$$\frac{25351968573}{2968750000}\approx 8.539610467$$

Solution Steps

Multiply 1.732 and 30.6 to get 52.9992.

$$\frac{52.9992\times 8}{380}\left(8.65\times 0.88+0.134\times 0.31\right)$$

Multiply 52.9992 and 8 to get 423.9936.

$$\frac{423.9936}{380}\left(8.65\times 0.88+0.134\times 0.31\right)$$

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

$$\frac{4239936}{3800000}\left(8.65\times 0.88+0.134\times 0.31\right)$$

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

$$\frac{66249}{59375}\left(8.65\times 0.88+0.134\times 0.31\right)$$

Multiply 8.65 and 0.88 to get 7.612.

$$\frac{66249}{59375}\left(7.612+0.134\times 0.31\right)$$

Multiply 0.134 and 0.31 to get 0.04154.

$$\frac{66249}{59375}\left(7.612+0.04154\right)$$

Add 7.612 and 0.04154 to get 7.65354.

$$\frac{66249}{59375}\times 7.65354$$

Convert decimal number 7.65354 to fraction \frac{765354}{100000}. Reduce the fraction \frac{765354}{100000} to lowest terms by extracting and canceling out 2.

$$\frac{66249}{59375}\times \frac{382677}{50000}$$

Multiply \frac{66249}{59375} times \frac{382677}{50000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{66249\times 382677}{59375\times 50000}$$

Do the multiplications in the fraction \frac{66249\times 382677}{59375\times 50000}.

$$\frac{25351968573}{2968750000}$$

Factor

$$\frac{17 \cdot 199 \cdot 433 \cdot 641 \cdot 3 ^ {3}}{19 \cdot 2 ^ {4} \cdot 5 ^ {10}} = 8\frac{1601968573}{2968750000} = 8.539610466694738$$