30/24 added to 24/2 in Fraction Form

The result of 30/24 added to 24/2 is: 13 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3024 and 242.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 24 and 2 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3024 to 3024
Convert 242 to 28824

Step 4: Add the Numerators

Add the numerators: 30 + 288 = 318

Step 5: Simplify the Fraction

We can simplify 31824 to its lowest form.
The greatest common divisor (GCD) of 318 and 24 is 6.
Dividing both numerator and denominator by the GCD, we get 534.

Step 6: Convert to Mixed Number

The fraction 534 can be written as the mixed number 1314.

Final Answer

The result of 30/24 added to 24/2 is:

3024+242=1314

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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