22/212 added to 42/2 in Fraction Form

The result of 22/212 added to 42/2 is: 21 11/106

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22212 and 422.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 212 and 2 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22212 to 22212
Convert 422 to 4452212

Step 4: Add the Numerators

Add the numerators: 22 + 4452 = 4474

Step 5: Simplify the Fraction

We can simplify 4474212 to its lowest form.
The greatest common divisor (GCD) of 4474 and 212 is 2.
Dividing both numerator and denominator by the GCD, we get 2237106.

Step 6: Convert to Mixed Number

The fraction 2237106 can be written as the mixed number 2111106.

Final Answer

The result of 22/212 added to 42/2 is:

22212+422=2111106

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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