30/13 added to 8/2 in Fraction Form

The result of 30/13 added to 8/2 is: 6 4/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3013 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 2 is 26.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3013 to 6026
Convert 82 to 10426

Step 4: Add the Numerators

Add the numerators: 60 + 104 = 164

Step 5: Simplify the Fraction

We can simplify 16426 to its lowest form.
The greatest common divisor (GCD) of 164 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get 8213.

Step 6: Convert to Mixed Number

The fraction 8213 can be written as the mixed number 6413.

Final Answer

The result of 30/13 added to 8/2 is:

3013+82=6413

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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