100/26 added to 22/2 in Fraction Form

The result of 100/26 added to 22/2 is: 14 11/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10026 and 222.

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 10026 to 10026
Convert 222 to 28626

Step 4: Add the Numerators

Add the numerators: 100 + 286 = 386

Step 5: Simplify the Fraction

We can simplify 38626 to its lowest form.
The greatest common divisor (GCD) of 386 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get 19313.

Step 6: Convert to Mixed Number

The fraction 19313 can be written as the mixed number 141113.

Final Answer

The result of 100/26 added to 22/2 is:

10026+222=141113

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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