22/69 added to 82/6 in Fraction Form

The result of 22/69 added to 82/6 is: 13 68/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2269 and 826.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 6 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2269 to 44138
Convert 826 to 1886138

Step 4: Add the Numerators

Add the numerators: 44 + 1886 = 1930

Step 5: Simplify the Fraction

We can simplify 1930138 to its lowest form.
The greatest common divisor (GCD) of 1930 and 138 is 2.
Dividing both numerator and denominator by the GCD, we get 96569.

Step 6: Convert to Mixed Number

The fraction 96569 can be written as the mixed number 136869.

Final Answer

The result of 22/69 added to 82/6 is:

2269+826=136869

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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