23/69 added to 228/4 in Fraction Form

The result of 23/69 added to 228/4 is: 57 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2369 and 2284.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 4 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2369 to 92276
Convert 2284 to 15732276

Step 4: Add the Numerators

Add the numerators: 92 + 15732 = 15824

Step 5: Simplify the Fraction

We can simplify 15824276 to its lowest form.
The greatest common divisor (GCD) of 15824 and 276 is 92.
Dividing both numerator and denominator by the GCD, we get 1723.

Step 6: Convert to Mixed Number

The fraction 1723 can be written as the mixed number 5713.

Final Answer

The result of 23/69 added to 228/4 is:

2369+2284=5713

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).

Fraction Calculator

Calculate operations between any two fractions: