28/266 added to 1/4 in Fraction Form

The result of 28/266 added to 1/4 is: 27/76

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 28266 and 14.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 266 and 4 is 532.

Step 3: Convert Fractions to Equivalent Fractions

Convert 28266 to 56532
Convert 14 to 133532

Step 4: Add the Numerators

Add the numerators: 56 + 133 = 189

Step 5: Simplify the Fraction

We can simplify 189532 to its lowest form.
The greatest common divisor (GCD) of 189 and 532 is 7.
Dividing both numerator and denominator by the GCD, we get 2776.

Final Answer

The result of 28/266 added to 1/4 is:

28266+14=2776

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (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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