22/11 added to 253/3 in Fraction Form

The result of 22/11 added to 253/3 is: 86 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2211 and 2533.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 3 is 33.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2211 to 6633
Convert 2533 to 278333

Step 4: Add the Numerators

Add the numerators: 66 + 2783 = 2849

Step 5: Simplify the Fraction

We can simplify 284933 to its lowest form.
The greatest common divisor (GCD) of 2849 and 33 is 11.
Dividing both numerator and denominator by the GCD, we get 2593.

Step 6: Convert to Mixed Number

The fraction 2593 can be written as the mixed number 8613.

Final Answer

The result of 22/11 added to 253/3 is:

2211+2533=8613

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

Calculate operations between any two fractions: