4/68 added to 228/3 in Fraction Form

The result of 4/68 added to 228/3 is: 76 1/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 468 and 2283.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 68 and 3 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 468 to 12204
Convert 2283 to 15504204

Step 4: Add the Numerators

Add the numerators: 12 + 15504 = 15516

Step 5: Simplify the Fraction

We can simplify 15516204 to its lowest form.
The greatest common divisor (GCD) of 15516 and 204 is 12.
Dividing both numerator and denominator by the GCD, we get 129317.

Step 6: Convert to Mixed Number

The fraction 129317 can be written as the mixed number 76117.

Final Answer

The result of 4/68 added to 228/3 is:

468+2283=76117

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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