184/26 added to 47/3 in Fraction Form

The result of 184/26 added to 47/3 is: 22 29/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18426 and 473.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 3 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18426 to 55278
Convert 473 to 122278

Step 4: Add the Numerators

Add the numerators: 552 + 1222 = 1774

Step 5: Simplify the Fraction

We can simplify 177478 to its lowest form.
The greatest common divisor (GCD) of 1774 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get 88739.

Step 6: Convert to Mixed Number

The fraction 88739 can be written as the mixed number 222939.

Final Answer

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

18426+473=222939

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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