259/13 added to 3/3 in Fraction Form

The result of 259/13 added to 3/3 is: 20 12/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 25913 and 33.

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 25913 to 77739
Convert 33 to 3939

Step 4: Add the Numerators

Add the numerators: 777 + 39 = 816

Step 5: Simplify the Fraction

We can simplify 81639 to its lowest form.
The greatest common divisor (GCD) of 816 and 39 is 3.
Dividing both numerator and denominator by the GCD, we get 27213.

Step 6: Convert to Mixed Number

The fraction 27213 can be written as the mixed number 201213.

Final Answer

The result of 259/13 added to 3/3 is:

25913+33=201213

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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