5/12 added to 1/4 in Fraction Form

The result of 5/12 added to 1/4 is: 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac512\) and \(\frac14\).

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 \(\frac512\) to \(\frac{5}12\)
Convert \(\frac14\) to \(\frac{3}12\)

Step 4: Add the Numerators

Add the numerators: 5 + 3 = 8

Step 5: Simplify the Fraction

We can simplify \(\frac812\) to its lowest form.
The greatest common divisor (GCD) of 8 and 12 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac23\).

Final Answer

The result of 5/12 added to 1/4 is:

\[ \frac{5}{12} + \frac{1}{4} = \frac23 \]

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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