21/22 added to 30/6 in Fraction Form

The result of 21/22 added to 30/6 is: 5 21/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2122 and 306.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 22 and 6 is 66.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2122 to 6366
Convert 306 to 33066

Step 4: Add the Numerators

Add the numerators: 63 + 330 = 393

Step 5: Simplify the Fraction

We can simplify 39366 to its lowest form.
The greatest common divisor (GCD) of 393 and 66 is 3.
Dividing both numerator and denominator by the GCD, we get 13122.

Step 6: Convert to Mixed Number

The fraction 13122 can be written as the mixed number 52122.

Final Answer

The result of 21/22 added to 30/6 is:

2122+306=52122

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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