24/99 added to 175/3 in Fraction Form

The result of 24/99 added to 175/3 is: 58 19/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2499 and 1753.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 3 is 99.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2499 to 2499
Convert 1753 to 577599

Step 4: Add the Numerators

Add the numerators: 24 + 5775 = 5799

Step 5: Simplify the Fraction

We can simplify 579999 to its lowest form.
The greatest common divisor (GCD) of 5799 and 99 is 3.
Dividing both numerator and denominator by the GCD, we get 193333.

Step 6: Convert to Mixed Number

The fraction 193333 can be written as the mixed number 581933.

Final Answer

The result of 24/99 added to 175/3 is:

2499+1753=581933

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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