22/61 added to 222/2 in Fraction Form

The result of 22/61 added to 222/2 is: 111 22/61

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2261 and 2222.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 61 and 2 is 122.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2261 to 44122
Convert 2222 to 13542122

Step 4: Add the Numerators

Add the numerators: 44 + 13542 = 13586

Step 5: Simplify the Fraction

We can simplify 13586122 to its lowest form.
The greatest common divisor (GCD) of 13586 and 122 is 2.
Dividing both numerator and denominator by the GCD, we get 679361.

Step 6: Convert to Mixed Number

The fraction 679361 can be written as the mixed number 1112261.

Final Answer

The result of 22/61 added to 222/2 is:

2261+2222=1112261

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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