84/22 added to 5/3 in Fraction Form

The result of 84/22 added to 5/3 is: 5 16/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8422 and 53.

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 8422 to 25266
Convert 53 to 11066

Step 4: Add the Numerators

Add the numerators: 252 + 110 = 362

Step 5: Simplify the Fraction

We can simplify 36266 to its lowest form.
The greatest common divisor (GCD) of 362 and 66 is 2.
Dividing both numerator and denominator by the GCD, we get 18133.

Step 6: Convert to Mixed Number

The fraction 18133 can be written as the mixed number 51633.

Final Answer

The result of 84/22 added to 5/3 is:

8422+53=51633

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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