110/83 added to 102/2 in Fraction Form

The result of 110/83 added to 102/2 is: 52 27/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11083 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 2 is 166.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11083 to 220166
Convert 1022 to 8466166

Step 4: Add the Numerators

Add the numerators: 220 + 8466 = 8686

Step 5: Simplify the Fraction

We can simplify 8686166 to its lowest form.
The greatest common divisor (GCD) of 8686 and 166 is 2.
Dividing both numerator and denominator by the GCD, we get 434383.

Step 6: Convert to Mixed Number

The fraction 434383 can be written as the mixed number 522783.

Final Answer

The result of 110/83 added to 102/2 is:

11083+1022=522783

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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