1/2 added to 3/3 in Fraction Form

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

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac12\) and \(\frac33\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 2 and 3 is 6.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac12\) to \(\frac{3}6\)
Convert \(\frac33\) to \(\frac{6}6\)

Step 4: Add the Numerators

Add the numerators: 3 + 6 = 9

Step 5: Simplify the Fraction

We can simplify \(\frac96\) to its lowest form.
The greatest common divisor (GCD) of 9 and 6 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac32\).

Step 6: Convert to Mixed Number

The fraction \(\frac32\) can be written as the mixed number \(1\frac12\).

Final Answer

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

\[ \frac{1}{2} + \frac{3}{3} = 1\frac12 \]

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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