213/22 added to 84/3 in Fraction Form

The result of 213/22 added to 84/3 is: 37 15/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21322 and 843.

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 21322 to 63966
Convert 843 to 184866

Step 4: Add the Numerators

Add the numerators: 639 + 1848 = 2487

Step 5: Simplify the Fraction

We can simplify 248766 to its lowest form.
The greatest common divisor (GCD) of 2487 and 66 is 3.
Dividing both numerator and denominator by the GCD, we get 82922.

Step 6: Convert to Mixed Number

The fraction 82922 can be written as the mixed number 371522.

Final Answer

The result of 213/22 added to 84/3 is:

21322+843=371522

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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