Solve 1.732*50.3*8/380left(3.6*0.78+0.119*0.31right)

$$\frac{ 1.732 \times 50.3 \cdot 8 }{ 380 } \left( 3.6 \cdot 0.78+0.119 \cdot 0.31 \right)$$

Evaluate

$$\frac{61961419711}{11875000000}\approx 5.217803765$$

Solution Steps

Multiply 1.732 and 50.3 to get 87.1196.

$$\frac{87.1196\times 8}{380}\left(3.6\times 0.78+0.119\times 0.31\right)$$

Multiply 87.1196 and 8 to get 696.9568.

$$\frac{696.9568}{380}\left(3.6\times 0.78+0.119\times 0.31\right)$$

Expand \frac{696.9568}{380} by multiplying both numerator and the denominator by 10000.

$$\frac{6969568}{3800000}\left(3.6\times 0.78+0.119\times 0.31\right)$$

Reduce the fraction \frac{6969568}{3800000} to lowest terms by extracting and canceling out 32.

$$\frac{217799}{118750}\left(3.6\times 0.78+0.119\times 0.31\right)$$

Multiply 3.6 and 0.78 to get 2.808.

$$\frac{217799}{118750}\left(2.808+0.119\times 0.31\right)$$

Multiply 0.119 and 0.31 to get 0.03689.

$$\frac{217799}{118750}\left(2.808+0.03689\right)$$

Add 2.808 and 0.03689 to get 2.84489.

$$\frac{217799}{118750}\times 2.84489$$

Convert decimal number 2.84489 to fraction \frac{284489}{100000}.

$$\frac{217799}{118750}\times \frac{284489}{100000}$$

Multiply \frac{217799}{118750} times \frac{284489}{100000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{217799\times 284489}{118750\times 100000}$$

Do the multiplications in the fraction \frac{217799\times 284489}{118750\times 100000}.

$$\frac{61961419711}{11875000000}$$

Factor

$$\frac{433 \cdot 503 \cdot 284489}{19 \cdot 2 ^ {6} \cdot 5 ^ {10}} = 5\frac{2586419711}{11875000000} = 5.217803765136842$$