Solve 4.77*60/1000*0.2*0.111+2.2-4

$$\frac { 4.77 \cdot 60 } { 1000 \times 0.2 \times 0.111 + 2.2 - 4 }$$

Evaluate

$$\frac{477}{34}\approx 14.029411765$$

Solution Steps

Multiply 4.77 and 60 to get 286.2.

$$\frac{286.2}{1000\times 0.2\times 0.111+2.2-4}$$

Multiply 1000 and 0.2 to get 200.

$$\frac{286.2}{200\times 0.111+2.2-4}$$

Multiply 200 and 0.111 to get 22.2.

$$\frac{286.2}{22.2+2.2-4}$$

Add 22.2 and 2.2 to get 24.4.

$$\frac{286.2}{24.4-4}$$

Subtract 4 from 24.4 to get 20.4.

$$\frac{286.2}{20.4}$$

Expand \frac{286.2}{20.4} by multiplying both numerator and the denominator by 10.

$$\frac{2862}{204}$$

Reduce the fraction \frac{2862}{204} to lowest terms by extracting and canceling out 6.

$$\frac{477}{34}$$

Factor

$$\frac{53 \cdot 3 ^ {2}}{2 \cdot 17} = 14\frac{1}{34} = 14.029411764705882$$