24/209 added to 92/2 in Fraction Form

The result of 24/209 added to 92/2 is: 46 24/209

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24209 and 922.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 209 and 2 is 418.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24209 to 48418
Convert 922 to 19228418

Step 4: Add the Numerators

Add the numerators: 48 + 19228 = 19276

Step 5: Simplify the Fraction

We can simplify 19276418 to its lowest form.
The greatest common divisor (GCD) of 19276 and 418 is 2.
Dividing both numerator and denominator by the GCD, we get 9638209.

Step 6: Convert to Mixed Number

The fraction 9638209 can be written as the mixed number 4624209.

Final Answer

The result of 24/209 added to 92/2 is:

24209+922=4624209

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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