31/69 added to 22/2 in Fraction Form

The result of 31/69 added to 22/2 is: 11 31/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3169 and 222.

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 3169 to 62138
Convert 222 to 1518138

Step 4: Add the Numerators

Add the numerators: 62 + 1518 = 1580

Step 5: Simplify the Fraction

We can simplify 1580138 to its lowest form.
The greatest common divisor (GCD) of 1580 and 138 is 2.
Dividing both numerator and denominator by the GCD, we get 79069.

Step 6: Convert to Mixed Number

The fraction 79069 can be written as the mixed number 113169.

Final Answer

The result of 31/69 added to 22/2 is:

3169+222=113169

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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