1/3 added to 2/3 in Fraction Form

The result of 1/3 added to 2/3 is: 1

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac13\) and \(\frac23\).

Step 2: Add the Numerators (Same Denominator)

Since the denominators are the same, we can directly add the numerators: 1 + 2 = 3

Step 3: Simplify the Fraction

We can simplify \(\frac33\) to its lowest form.
The greatest common divisor (GCD) of 3 and 3 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac11\).

Final Answer

The result of 1/3 added to 2/3 is:

\[ \frac{1}{3} + \frac{2}{3} = 1 \]

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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