4/69 added to 222/2 in Fraction Form

The result of 4/69 added to 222/2 is: 111 4/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 469 and 2222.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 2 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 469 to 8138
Convert 2222 to 15318138

Step 4: Add the Numerators

Add the numerators: 8 + 15318 = 15326

Step 5: Simplify the Fraction

We can simplify 15326138 to its lowest form.
The greatest common divisor (GCD) of 15326 and 138 is 2.
Dividing both numerator and denominator by the GCD, we get 766369.

Step 6: Convert to Mixed Number

The fraction 766369 can be written as the mixed number 111469.

Final Answer

The result of 4/69 added to 222/2 is:

469+2222=111469

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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