31/202 added to 39/3 in Fraction Form

The result of 31/202 added to 39/3 is: 13 31/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 31202 and 393.

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 31202 to 93606
Convert 393 to 7878606

Step 4: Add the Numerators

Add the numerators: 93 + 7878 = 7971

Step 5: Simplify the Fraction

We can simplify 7971606 to its lowest form.
The greatest common divisor (GCD) of 7971 and 606 is 3.
Dividing both numerator and denominator by the GCD, we get 2657202.

Step 6: Convert to Mixed Number

The fraction 2657202 can be written as the mixed number 1331202.

Final Answer

The result of 31/202 added to 39/3 is:

31202+393=1331202

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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