214/22 added to 2/3 in Fraction Form

The result of 214/22 added to 2/3 is: 10 13/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21422 and 23.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 22 and 3 is 66.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21422 to 64266
Convert 23 to 4466

Step 4: Add the Numerators

Add the numerators: 642 + 44 = 686

Step 5: Simplify the Fraction

We can simplify 68666 to its lowest form.
The greatest common divisor (GCD) of 686 and 66 is 2.
Dividing both numerator and denominator by the GCD, we get 34333.

Step 6: Convert to Mixed Number

The fraction 34333 can be written as the mixed number 101333.

Final Answer

The result of 214/22 added to 2/3 is:

21422+23=101333

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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