38/83 added to 192/2 in Fraction Form

The result of 38/83 added to 192/2 is: 96 38/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3883 and 1922.

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 3883 to 76166
Convert 1922 to 15936166

Step 4: Add the Numerators

Add the numerators: 76 + 15936 = 16012

Step 5: Simplify the Fraction

We can simplify 16012166 to its lowest form.
The greatest common divisor (GCD) of 16012 and 166 is 2.
Dividing both numerator and denominator by the GCD, we get 800683.

Step 6: Convert to Mixed Number

The fraction 800683 can be written as the mixed number 963883.

Final Answer

The result of 38/83 added to 192/2 is:

3883+1922=963883

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

Calculate operations between any two fractions: