2/102 added to 183/3 in Fraction Form

The result of 2/102 added to 183/3 is: 61 1/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2102 and 1833.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 3 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2102 to 2102
Convert 1833 to 6222102

Step 4: Add the Numerators

Add the numerators: 2 + 6222 = 6224

Step 5: Simplify the Fraction

We can simplify 6224102 to its lowest form.
The greatest common divisor (GCD) of 6224 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 311251.

Step 6: Convert to Mixed Number

The fraction 311251 can be written as the mixed number 61151.

Final Answer

The result of 2/102 added to 183/3 is:

2102+1833=61151

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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