11/21 added to 228/2 in Fraction Form

The result of 11/21 added to 228/2 is: 114 11/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1121 and 2282.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 2 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1121 to 2242
Convert 2282 to 478842

Step 4: Add the Numerators

Add the numerators: 22 + 4788 = 4810

Step 5: Simplify the Fraction

We can simplify 481042 to its lowest form.
The greatest common divisor (GCD) of 4810 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get 240521.

Step 6: Convert to Mixed Number

The fraction 240521 can be written as the mixed number 1141121.

Final Answer

The result of 11/21 added to 228/2 is:

1121+2282=1141121

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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