83/27 added to 202/2 in Fraction Form

The result of 83/27 added to 202/2 is: 104 2/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8327 and 2022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 2 is 54.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8327 to 16654
Convert 2022 to 545454

Step 4: Add the Numerators

Add the numerators: 166 + 5454 = 5620

Step 5: Simplify the Fraction

We can simplify 562054 to its lowest form.
The greatest common divisor (GCD) of 5620 and 54 is 2.
Dividing both numerator and denominator by the GCD, we get 281027.

Step 6: Convert to Mixed Number

The fraction 281027 can be written as the mixed number 104227.

Final Answer

The result of 83/27 added to 202/2 is:

8327+2022=104227

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).

Fraction Calculator

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