Solve 1.732*66*120/380*(2.16*0.87+0.115*0.31)

$$\frac{ 1.732 \times 66 \times 120 }{ 380 } \times (2.16 \times 0.87+0.115 \times 0.31)$$

Evaluate

$$\frac{1641677499}{23750000}\approx 69.123263116$$

Solution Steps

Multiply 1.732 and 66 to get 114.312.

$$\frac{114.312\times 120}{380}\left(2.16\times 0.87+0.115\times 0.31\right)$$

Multiply 114.312 and 120 to get 13717.44.

$$\frac{13717.44}{380}\left(2.16\times 0.87+0.115\times 0.31\right)$$

Expand \frac{13717.44}{380} by multiplying both numerator and the denominator by 100.

$$\frac{1371744}{38000}\left(2.16\times 0.87+0.115\times 0.31\right)$$

Reduce the fraction \frac{1371744}{38000} to lowest terms by extracting and canceling out 16.

$$\frac{85734}{2375}\left(2.16\times 0.87+0.115\times 0.31\right)$$

Multiply 2.16 and 0.87 to get 1.8792.

$$\frac{85734}{2375}\left(1.8792+0.115\times 0.31\right)$$

Multiply 0.115 and 0.31 to get 0.03565.

$$\frac{85734}{2375}\left(1.8792+0.03565\right)$$

Add 1.8792 and 0.03565 to get 1.91485.

$$\frac{85734}{2375}\times 1.91485$$

Convert decimal number 1.91485 to fraction \frac{191485}{100000}. Reduce the fraction \frac{191485}{100000} to lowest terms by extracting and canceling out 5.

$$\frac{85734}{2375}\times \frac{38297}{20000}$$

Multiply \frac{85734}{2375} times \frac{38297}{20000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{85734\times 38297}{2375\times 20000}$$

Do the multiplications in the fraction \frac{85734\times 38297}{2375\times 20000}.

$$\frac{3283354998}{47500000}$$

Reduce the fraction \frac{3283354998}{47500000} to lowest terms by extracting and canceling out 2.

$$\frac{1641677499}{23750000}$$

Factor

$$\frac{7 \cdot 11 \cdot 433 \cdot 5471 \cdot 3 ^ {2}}{19 \cdot 2 ^ {4} \cdot 5 ^ {7}} = 69\frac{2927499}{23750000} = 69.12326311578947$$