69/26 added to 184/4 in Fraction Form

The result of 69/26 added to 184/4 is: 48 17/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6926 and 1844.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 4 is 52.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6926 to 13852
Convert 1844 to 239252

Step 4: Add the Numerators

Add the numerators: 138 + 2392 = 2530

Step 5: Simplify the Fraction

We can simplify 253052 to its lowest form.
The greatest common divisor (GCD) of 2530 and 52 is 2.
Dividing both numerator and denominator by the GCD, we get 126526.

Step 6: Convert to Mixed Number

The fraction 126526 can be written as the mixed number 481726.

Final Answer

The result of 69/26 added to 184/4 is:

6926+1844=481726

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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