64/201 added to 12/4 in Fraction Form

The result of 64/201 added to 12/4 is: 3 64/201

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 64201 and 124.

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 64201 to 256804
Convert 124 to 2412804

Step 4: Add the Numerators

Add the numerators: 256 + 2412 = 2668

Step 5: Simplify the Fraction

We can simplify 2668804 to its lowest form.
The greatest common divisor (GCD) of 2668 and 804 is 4.
Dividing both numerator and denominator by the GCD, we get 667201.

Step 6: Convert to Mixed Number

The fraction 667201 can be written as the mixed number 364201.

Final Answer

The result of 64/201 added to 12/4 is:

64201+124=364201

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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