69/23 added to 209/2 in Fraction Form

The result of 69/23 added to 209/2 is: 107 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6923 and 2092.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 2 is 46.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6923 to 13846
Convert 2092 to 480746

Step 4: Add the Numerators

Add the numerators: 138 + 4807 = 4945

Step 5: Simplify the Fraction

We can simplify 494546 to its lowest form.
The greatest common divisor (GCD) of 4945 and 46 is 23.
Dividing both numerator and denominator by the GCD, we get 2152.

Step 6: Convert to Mixed Number

The fraction 2152 can be written as the mixed number 10712.

Final Answer

The result of 69/23 added to 209/2 is:

6923+2092=10712

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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