22/69 added to 206/2 in Fraction Form

The result of 22/69 added to 206/2 is: 103 22/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2269 and 2062.

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 2269 to 44138
Convert 2062 to 14214138

Step 4: Add the Numerators

Add the numerators: 44 + 14214 = 14258

Step 5: Simplify the Fraction

We can simplify 14258138 to its lowest form.
The greatest common divisor (GCD) of 14258 and 138 is 2.
Dividing both numerator and denominator by the GCD, we get 712969.

Step 6: Convert to Mixed Number

The fraction 712969 can be written as the mixed number 1032269.

Final Answer

The result of 22/69 added to 206/2 is:

2269+2062=1032269

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).

Fraction Calculator

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