32/26 added to 198/2 in Fraction Form

The result of 32/26 added to 198/2 is: 100 3/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3226 and 1982.

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 3226 to 3226
Convert 1982 to 257426

Step 4: Add the Numerators

Add the numerators: 32 + 2574 = 2606

Step 5: Simplify the Fraction

We can simplify 260626 to its lowest form.
The greatest common divisor (GCD) of 2606 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get 130313.

Step 6: Convert to Mixed Number

The fraction 130313 can be written as the mixed number 100313.

Final Answer

The result of 32/26 added to 198/2 is:

3226+1982=100313

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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