33/102 added to 20/2 in Fraction Form

The result of 33/102 added to 20/2 is: 10 11/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 33102 and 202.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 33102 to 33102
Convert 202 to 1020102

Step 4: Add the Numerators

Add the numerators: 33 + 1020 = 1053

Step 5: Simplify the Fraction

We can simplify 1053102 to its lowest form.
The greatest common divisor (GCD) of 1053 and 102 is 3.
Dividing both numerator and denominator by the GCD, we get 35134.

Step 6: Convert to Mixed Number

The fraction 35134 can be written as the mixed number 101134.

Final Answer

The result of 33/102 added to 20/2 is:

33102+202=101134

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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