209/159 added to 9/3 in Fraction Form

The result of 209/159 added to 9/3 is: 4 50/159

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac209159\) and \(\frac93\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 3 is 159.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac209159\) to \(\frac{209}159\)
Convert \(\frac93\) to \(\frac{477}159\)

Step 4: Add the Numerators

Add the numerators: 209 + 477 = 686

Step 5: Convert to Mixed Number

The fraction \(\frac686159\) can be written as the mixed number \(4\frac50159\).

Final Answer

The result of 209/159 added to 9/3 is:

\[ \frac{209}{159} + \frac{9}{3} = 4\frac50159 \]

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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