15/13 added to 261/3 in Fraction Form

The result of 15/13 added to 261/3 is: 88 2/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1513 and 2613.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 3 is 39.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1513 to 4539
Convert 2613 to 339339

Step 4: Add the Numerators

Add the numerators: 45 + 3393 = 3438

Step 5: Simplify the Fraction

We can simplify 343839 to its lowest form.
The greatest common divisor (GCD) of 3438 and 39 is 3.
Dividing both numerator and denominator by the GCD, we get 114613.

Step 6: Convert to Mixed Number

The fraction 114613 can be written as the mixed number 88213.

Final Answer

The result of 15/13 added to 261/3 is:

1513+2613=88213

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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