11/12 added to 18/4 in Fraction Form

The result of 11/12 added to 18/4 is: 5 5/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac1112\) and \(\frac184\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 12 and 4 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac1112\) to \(\frac{11}12\)
Convert \(\frac184\) to \(\frac{54}12\)

Step 4: Add the Numerators

Add the numerators: 11 + 54 = 65

Step 5: Convert to Mixed Number

The fraction \(\frac6512\) can be written as the mixed number \(5\frac512\).

Final Answer

The result of 11/12 added to 18/4 is:

\[ \frac{11}{12} + \frac{18}{4} = 5\frac512 \]

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (when denominators are different)

Or simply \( \frac{a}{b} + \frac{c}{b} = \frac{a + c}{b} \) (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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