22/13 added to 96/3 in Fraction Form

The result of 22/13 added to 96/3 is: 33 9/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2213 and 963.

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 2213 to 6639
Convert 963 to 124839

Step 4: Add the Numerators

Add the numerators: 66 + 1248 = 1314

Step 5: Simplify the Fraction

We can simplify 131439 to its lowest form.
The greatest common divisor (GCD) of 1314 and 39 is 3.
Dividing both numerator and denominator by the GCD, we get 43813.

Step 6: Convert to Mixed Number

The fraction 43813 can be written as the mixed number 33913.

Final Answer

The result of 22/13 added to 96/3 is:

2213+963=33913

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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