5/202 added to 81/3 in Fraction Form

The result of 5/202 added to 81/3 is: 27 5/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5202 and 813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 202 and 3 is 606.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5202 to 15606
Convert 813 to 16362606

Step 4: Add the Numerators

Add the numerators: 15 + 16362 = 16377

Step 5: Simplify the Fraction

We can simplify 16377606 to its lowest form.
The greatest common divisor (GCD) of 16377 and 606 is 3.
Dividing both numerator and denominator by the GCD, we get 5459202.

Step 6: Convert to Mixed Number

The fraction 5459202 can be written as the mixed number 275202.

Final Answer

The result of 5/202 added to 81/3 is:

5202+813=275202

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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