41/9 added to 212/2 in Fraction Form

The result of 41/9 added to 212/2 is: 110 5/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 419 and 2122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 2 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 419 to 8218
Convert 2122 to 190818

Step 4: Add the Numerators

Add the numerators: 82 + 1908 = 1990

Step 5: Simplify the Fraction

We can simplify 199018 to its lowest form.
The greatest common divisor (GCD) of 1990 and 18 is 2.
Dividing both numerator and denominator by the GCD, we get 9959.

Step 6: Convert to Mixed Number

The fraction 9959 can be written as the mixed number 11059.

Final Answer

The result of 41/9 added to 212/2 is:

419+2122=11059

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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