213/22 added to 19/2 in Fraction Form

The result of 213/22 added to 19/2 is: 19 2/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21322 and 192.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 22 and 2 is 22.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21322 to 21322
Convert 192 to 20922

Step 4: Add the Numerators

Add the numerators: 213 + 209 = 422

Step 5: Simplify the Fraction

We can simplify 42222 to its lowest form.
The greatest common divisor (GCD) of 422 and 22 is 2.
Dividing both numerator and denominator by the GCD, we get 21111.

Step 6: Convert to Mixed Number

The fraction 21111 can be written as the mixed number 19211.

Final Answer

The result of 213/22 added to 19/2 is:

21322+192=19211

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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