Special Cases (0 and 1, Inverse, Fraction Line): Decimal numbers

According to the order of operations, the exercise is solved from left to right as it contains only an addition operation:

$0+0.2=0.2$

$0.2+0.6=0.8$

According to the order of operations rules, since the exercise only involves addition and subtraction, we will solve the problem from left to right:

$9-0=9$

$9+0.5=9.5$

According to the order of operations rules, we first solve the expression in parentheses:

$1-1=0$

And we get the expression:

$0.18+0=0.18$

According to the order of operations, we will solve the exercise from left to right.

$\frac{1}{2}=0.5$

$0.5+0.5=1$

$1-0=1$

According to the rules of the order of operations we should begin by placing the multiplication exercise within parentheses:

$18-(1\times0.1)=$

We then proceed solve the multiplication exercise:

$1\times0.1=0.1$

And we should obtain the following exercise:

$18-0.1=17.9$

According to rules of the order of operations , we must first place the multiplication exercise inside of parentheses:

$6+(8.4\times1)=$

Let's now proceed to solve the said expression:

$8.4\times1=8.4$

We should obtain the following exercise:

$6+8.4=14.4$

First we'll solve the multiplication exercise in the numerator:

$8.5\times10=85$

and we'll get:

$\frac{85}{2}=42.5$

To solve the expression $\frac{0.18+0.37}{89+13-\frac{2}{1}}=$, we need to follow the order of operations carefully.

• Step 1: Simplify the expression in the numerator: $0.18 + 0.37$.

$0.18 + 0.37 = 0.55$

• Step 2: Simplify the expression in the denominator. Start by simplifying $\frac{2}{1}$ which is simply $2$.

• Step 3: Continue with the expression: $89 + 13 - 2$.

$89 + 13 = 102$
$102 - 2 = 100$

• Step 4: Substitute the simplified expressions back into the main fraction: $\frac{0.55}{100}$.

$\frac{0.55}{100} = 0.0055$

Thus, the solution to the expression is $0.0055$.