202/11 added to 81/3 in Fraction Form

The result of 202/11 added to 81/3 is: 45 4/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20211 and 813.

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 20211 to 60633
Convert 813 to 89133

Step 4: Add the Numerators

Add the numerators: 606 + 891 = 1497

Step 5: Simplify the Fraction

We can simplify 149733 to its lowest form.
The greatest common divisor (GCD) of 1497 and 33 is 3.
Dividing both numerator and denominator by the GCD, we get 49911.

Step 6: Convert to Mixed Number

The fraction 49911 can be written as the mixed number 45411.

Final Answer

The result of 202/11 added to 81/3 is:

20211+813=45411

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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