6/228 added to 13/3 in Fraction Form

The result of 6/228 added to 13/3 is: 4 41/114

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6228 and 133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 228 and 3 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6228 to 6228
Convert 133 to 988228

Step 4: Add the Numerators

Add the numerators: 6 + 988 = 994

Step 5: Simplify the Fraction

We can simplify 994228 to its lowest form.
The greatest common divisor (GCD) of 994 and 228 is 2.
Dividing both numerator and denominator by the GCD, we get 497114.

Step 6: Convert to Mixed Number

The fraction 497114 can be written as the mixed number 441114.

Final Answer

The result of 6/228 added to 13/3 is:

6228+133=441114

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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