3/11 added to 228/3 in Fraction Form

The result of 3/11 added to 228/3 is: 76 3/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 311 and 2283.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 3 is 33.

Step 3: Convert Fractions to Equivalent Fractions

Convert 311 to 933
Convert 2283 to 250833

Step 4: Add the Numerators

Add the numerators: 9 + 2508 = 2517

Step 5: Simplify the Fraction

We can simplify 251733 to its lowest form.
The greatest common divisor (GCD) of 2517 and 33 is 3.
Dividing both numerator and denominator by the GCD, we get 83911.

Step 6: Convert to Mixed Number

The fraction 83911 can be written as the mixed number 76311.

Final Answer

The result of 3/11 added to 228/3 is:

311+2283=76311

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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