Solve 14208+6*228+2220/7*128*0.1+0.1*200

$$\frac{ 14208+6 \times 228+2220 }{ 7 \times 128 \times 0.1+0.1 \times 200 }$$

Evaluate

$$\frac{22245}{137}\approx 162.372262774$$

Solution Steps

Multiply 6 and 228 to get 1368.

$$\frac{14208+1368+2220}{7\times 128\times 0.1+0.1\times 200}$$

Add 14208 and 1368 to get 15576.

$$\frac{15576+2220}{7\times 128\times 0.1+0.1\times 200}$$

Add 15576 and 2220 to get 17796.

$$\frac{17796}{7\times 128\times 0.1+0.1\times 200}$$

Multiply 7 and 128 to get 896.

$$\frac{17796}{896\times 0.1+0.1\times 200}$$

Multiply 896 and 0.1 to get 89.6.

$$\frac{17796}{89.6+0.1\times 200}$$

Multiply 0.1 and 200 to get 20.

$$\frac{17796}{89.6+20}$$

Add 89.6 and 20 to get 109.6.

$$\frac{17796}{109.6}$$

Expand \frac{17796}{109.6} by multiplying both numerator and the denominator by 10.

$$\frac{177960}{1096}$$

Reduce the fraction \frac{177960}{1096} to lowest terms by extracting and canceling out 8.

$$\frac{22245}{137}$$

Factor

$$\frac{3 \cdot 5 \cdot 1483}{137} = 162\frac{51}{137} = 162.37226277372264$$