Solve 120(0.01*11)/(20+8)*10^-3*270

$$\frac{ 120(0.01 \times 11) }{ (20+8) \times { 10 }^{ -3 } \times 270 }$$

Evaluate

$$\frac{110}{63}\approx 1.746031746$$

Solution Steps

Cancel out 30 in both numerator and denominator.

$$\frac{0.01\times 4\times 11}{9\times 10^{-3}\left(8+20\right)}$$

Multiply 0.01 and 4 to get 0.04.

$$\frac{0.04\times 11}{9\times 10^{-3}\left(8+20\right)}$$

Multiply 0.04 and 11 to get 0.44.

$$\frac{0.44}{9\times 10^{-3}\left(8+20\right)}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{0.44}{9\times \frac{1}{1000}\left(8+20\right)}$$

Multiply 9 and \frac{1}{1000} to get \frac{9}{1000}.

$$\frac{0.44}{\frac{9}{1000}\left(8+20\right)}$$

Add 8 and 20 to get 28.

$$\frac{0.44}{\frac{9}{1000}\times 28}$$

Multiply \frac{9}{1000} and 28 to get \frac{63}{250}.

$$\frac{0.44}{\frac{63}{250}}$$

Divide 0.44 by \frac{63}{250} by multiplying 0.44 by the reciprocal of \frac{63}{250}.

$$0.44\times \frac{250}{63}$$

Multiply 0.44 and \frac{250}{63} to get \frac{110}{63}.

$$\frac{110}{63}$$

Factor

$$\frac{2 \cdot 5 \cdot 11}{7 \cdot 3 ^ {2}} = 1\frac{47}{63} = 1.746031746031746$$