38/202 added to 44/3 in Fraction Form

The result of 38/202 added to 44/3 is: 14 259/303

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38202 and 443.

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 38202 to 114606
Convert 443 to 8888606

Step 4: Add the Numerators

Add the numerators: 114 + 8888 = 9002

Step 5: Simplify the Fraction

We can simplify 9002606 to its lowest form.
The greatest common divisor (GCD) of 9002 and 606 is 2.
Dividing both numerator and denominator by the GCD, we get 4501303.

Step 6: Convert to Mixed Number

The fraction 4501303 can be written as the mixed number 14259303.

Final Answer

The result of 38/202 added to 44/3 is:

38202+443=14259303

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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