67/26 added to 187/2 in Fraction Form

The result of 67/26 added to 187/2 is: 96 1/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6726 and 1872.

Step 2: Find the Least Common Multiple (LCM)

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

Step 3: Convert Fractions to Equivalent Fractions

Convert 6726 to 6726
Convert 1872 to 243126

Step 4: Add the Numerators

Add the numerators: 67 + 2431 = 2498

Step 5: Simplify the Fraction

We can simplify 249826 to its lowest form.
The greatest common divisor (GCD) of 2498 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get 124913.

Step 6: Convert to Mixed Number

The fraction 124913 can be written as the mixed number 96113.

Final Answer

The result of 67/26 added to 187/2 is:

6726+1872=96113

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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