21/228 added to 24/3 in Fraction Form

The result of 21/228 added to 24/3 is: 8 7/76

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21228 and 243.

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 21228 to 21228
Convert 243 to 1824228

Step 4: Add the Numerators

Add the numerators: 21 + 1824 = 1845

Step 5: Simplify the Fraction

We can simplify 1845228 to its lowest form.
The greatest common divisor (GCD) of 1845 and 228 is 3.
Dividing both numerator and denominator by the GCD, we get 61576.

Step 6: Convert to Mixed Number

The fraction 61576 can be written as the mixed number 8776.

Final Answer

The result of 21/228 added to 24/3 is:

21228+243=8776

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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