24/9 added to 251/2 in Fraction Form

The result of 24/9 added to 251/2 is: 128 1/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 249 and 2512.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 2 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 249 to 4818
Convert 2512 to 225918

Step 4: Add the Numerators

Add the numerators: 48 + 2259 = 2307

Step 5: Simplify the Fraction

We can simplify 230718 to its lowest form.
The greatest common divisor (GCD) of 2307 and 18 is 3.
Dividing both numerator and denominator by the GCD, we get 7696.

Step 6: Convert to Mixed Number

The fraction 7696 can be written as the mixed number 12816.

Final Answer

The result of 24/9 added to 251/2 is:

249+2512=12816

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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