184/13 added to 39/6 in Fraction Form

The result of 184/13 added to 39/6 is: 20 17/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18413 and 396.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 6 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18413 to 110478
Convert 396 to 50778

Step 4: Add the Numerators

Add the numerators: 1104 + 507 = 1611

Step 5: Simplify the Fraction

We can simplify 161178 to its lowest form.
The greatest common divisor (GCD) of 1611 and 78 is 3.
Dividing both numerator and denominator by the GCD, we get 53726.

Step 6: Convert to Mixed Number

The fraction 53726 can be written as the mixed number 201726.

Final Answer

The result of 184/13 added to 39/6 is:

18413+396=201726

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

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