50/13 added to 82/6 in Fraction Form

The result of 50/13 added to 82/6 is: 17 20/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5013 and 826.

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 5013 to 30078
Convert 826 to 106678

Step 4: Add the Numerators

Add the numerators: 300 + 1066 = 1366

Step 5: Simplify the Fraction

We can simplify 136678 to its lowest form.
The greatest common divisor (GCD) of 1366 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get 68339.

Step 6: Convert to Mixed Number

The fraction 68339 can be written as the mixed number 172039.

Final Answer

The result of 50/13 added to 82/6 is:

5013+826=172039

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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