69/55 added to 184/2 in Fraction Form

The result of 69/55 added to 184/2 is: 93 14/55

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6955 and 1842.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 55 and 2 is 110.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6955 to 138110
Convert 1842 to 10120110

Step 4: Add the Numerators

Add the numerators: 138 + 10120 = 10258

Step 5: Simplify the Fraction

We can simplify 10258110 to its lowest form.
The greatest common divisor (GCD) of 10258 and 110 is 2.
Dividing both numerator and denominator by the GCD, we get 512955.

Step 6: Convert to Mixed Number

The fraction 512955 can be written as the mixed number 931455.

Final Answer

The result of 69/55 added to 184/2 is:

6955+1842=931455

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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