11/11 added to 259/3 in Fraction Form

The result of 11/11 added to 259/3 is: 87 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1111 and 2593.

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 1111 to 3333
Convert 2593 to 284933

Step 4: Add the Numerators

Add the numerators: 33 + 2849 = 2882

Step 5: Simplify the Fraction

We can simplify 288233 to its lowest form.
The greatest common divisor (GCD) of 2882 and 33 is 11.
Dividing both numerator and denominator by the GCD, we get 2623.

Step 6: Convert to Mixed Number

The fraction 2623 can be written as the mixed number 8713.

Final Answer

The result of 11/11 added to 259/3 is:

1111+2593=8713

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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