24/201 added to 21/4 in Fraction Form

The result of 24/201 added to 21/4 is: 5 99/268

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24201 and 214.

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 24201 to 96804
Convert 214 to 4221804

Step 4: Add the Numerators

Add the numerators: 96 + 4221 = 4317

Step 5: Simplify the Fraction

We can simplify 4317804 to its lowest form.
The greatest common divisor (GCD) of 4317 and 804 is 3.
Dividing both numerator and denominator by the GCD, we get 1439268.

Step 6: Convert to Mixed Number

The fraction 1439268 can be written as the mixed number 599268.

Final Answer

The result of 24/201 added to 21/4 is:

24201+214=599268

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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