6/8 added to 2/4 in Fraction Form

The result of 6/8 added to 2/4 is: 1 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac68\) and \(\frac24\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 8 and 4 is 8.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac68\) to \(\frac{6}8\)
Convert \(\frac24\) to \(\frac{4}8\)

Step 4: Add the Numerators

Add the numerators: 6 + 4 = 10

Step 5: Simplify the Fraction

We can simplify \(\frac108\) to its lowest form.
The greatest common divisor (GCD) of 10 and 8 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac54\).

Step 6: Convert to Mixed Number

The fraction \(\frac54\) can be written as the mixed number \(1\frac14\).

Final Answer

The result of 6/8 added to 2/4 is:

\[ \frac{6}{8} + \frac{2}{4} = 1\frac14 \]

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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