24/13 added to 254/2 in Fraction Form

The result of 24/13 added to 254/2 is: 128 11/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2413 and 2542.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 2 is 26.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2413 to 4826
Convert 2542 to 330226

Step 4: Add the Numerators

Add the numerators: 48 + 3302 = 3350

Step 5: Simplify the Fraction

We can simplify 335026 to its lowest form.
The greatest common divisor (GCD) of 3350 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get 167513.

Step 6: Convert to Mixed Number

The fraction 167513 can be written as the mixed number 1281113.

Final Answer

The result of 24/13 added to 254/2 is:

2413+2542=1281113

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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