184/47 added to 69/3 in Fraction Form

The result of 184/47 added to 69/3 is: 26 43/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18447 and 693.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 3 is 141.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18447 to 552141
Convert 693 to 3243141

Step 4: Add the Numerators

Add the numerators: 552 + 3243 = 3795

Step 5: Simplify the Fraction

We can simplify 3795141 to its lowest form.
The greatest common divisor (GCD) of 3795 and 141 is 3.
Dividing both numerator and denominator by the GCD, we get 126547.

Step 6: Convert to Mixed Number

The fraction 126547 can be written as the mixed number 264347.

Final Answer

The result of 184/47 added to 69/3 is:

18447+693=264347

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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