Solve Fraction Problem: Calculate 18/(18+36) Step by Step

To solve the expression $\frac{18}{18+36}$, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Here we have only addition and division.

First, we perform the operation inside the parentheses, which is addition in this case:

• Add the numbers in the denominator: $18 + 36 = 54$.

Now, we substitute back into the fraction:$\frac{18}{54}$.

Next, simplify the fraction:

• We look for the greatest common divisor (GCD) of 18 and 54. The GCD is 18.

• Divide both the numerator and the denominator by the GCD:

  • $\frac{18}{18} = 1$

  • $\frac{54}{18} = 3$

Thus, the simplified fraction is $\frac{1}{3}$.

The final answer is: $\frac{1}{3}$.