24/26 added to 81/3 in Fraction Form

The result of 24/26 added to 81/3 is: 27 12/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2426 and 813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 3 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2426 to 7278
Convert 813 to 210678

Step 4: Add the Numerators

Add the numerators: 72 + 2106 = 2178

Step 5: Simplify the Fraction

We can simplify 217878 to its lowest form.
The greatest common divisor (GCD) of 2178 and 78 is 6.
Dividing both numerator and denominator by the GCD, we get 36313.

Step 6: Convert to Mixed Number

The fraction 36313 can be written as the mixed number 271213.

Final Answer

The result of 24/26 added to 81/3 is:

2426+813=271213

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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