11/263 added to 9/3 in Fraction Form

The result of 11/263 added to 9/3 is: 3 11/263

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11263 and 93.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 263 and 3 is 789.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11263 to 33789
Convert 93 to 2367789

Step 4: Add the Numerators

Add the numerators: 33 + 2367 = 2400

Step 5: Simplify the Fraction

We can simplify 2400789 to its lowest form.
The greatest common divisor (GCD) of 2400 and 789 is 3.
Dividing both numerator and denominator by the GCD, we get 800263.

Step 6: Convert to Mixed Number

The fraction 800263 can be written as the mixed number 311263.

Final Answer

The result of 11/263 added to 9/3 is:

11263+93=311263

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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