48/83 added to 194/2 in Fraction Form

The result of 48/83 added to 194/2 is: 97 48/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4883 and 1942.

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 4883 to 96166
Convert 1942 to 16102166

Step 4: Add the Numerators

Add the numerators: 96 + 16102 = 16198

Step 5: Simplify the Fraction

We can simplify 16198166 to its lowest form.
The greatest common divisor (GCD) of 16198 and 166 is 2.
Dividing both numerator and denominator by the GCD, we get 809983.

Step 6: Convert to Mixed Number

The fraction 809983 can be written as the mixed number 974883.

Final Answer

The result of 48/83 added to 194/2 is:

4883+1942=974883

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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