24/99 added to 205/4 in Fraction Form

The result of 24/99 added to 205/4 is: 51 65/132

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2499 and 2054.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 4 is 396.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2499 to 96396
Convert 2054 to 20295396

Step 4: Add the Numerators

Add the numerators: 96 + 20295 = 20391

Step 5: Simplify the Fraction

We can simplify 20391396 to its lowest form.
The greatest common divisor (GCD) of 20391 and 396 is 3.
Dividing both numerator and denominator by the GCD, we get 6797132.

Step 6: Convert to Mixed Number

The fraction 6797132 can be written as the mixed number 5165132.

Final Answer

The result of 24/99 added to 205/4 is:

2499+2054=5165132

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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