32/201 added to 14/4 in Fraction Form

The result of 32/201 added to 14/4 is: 3 265/402

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 32201 and 144.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 201 and 4 is 804.

Step 3: Convert Fractions to Equivalent Fractions

Convert 32201 to 128804
Convert 144 to 2814804

Step 4: Add the Numerators

Add the numerators: 128 + 2814 = 2942

Step 5: Simplify the Fraction

We can simplify 2942804 to its lowest form.
The greatest common divisor (GCD) of 2942 and 804 is 2.
Dividing both numerator and denominator by the GCD, we get 1471402.

Step 6: Convert to Mixed Number

The fraction 1471402 can be written as the mixed number 3265402.

Final Answer

The result of 32/201 added to 14/4 is:

32201+144=3265402

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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