24/9 added to 79/4 in Fraction Form

The result of 24/9 added to 79/4 is: 22 5/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 249 and 794.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 249 to 9636
Convert 794 to 71136

Step 4: Add the Numerators

Add the numerators: 96 + 711 = 807

Step 5: Simplify the Fraction

We can simplify 80736 to its lowest form.
The greatest common divisor (GCD) of 807 and 36 is 3.
Dividing both numerator and denominator by the GCD, we get 26912.

Step 6: Convert to Mixed Number

The fraction 26912 can be written as the mixed number 22512.

Final Answer

The result of 24/9 added to 79/4 is:

249+794=22512

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).

Fraction Calculator

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