83/101 added to 120/4 in Fraction Form

The result of 83/101 added to 120/4 is: 30 83/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 83101 and 1204.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 83101 to 332404
Convert 1204 to 12120404

Step 4: Add the Numerators

Add the numerators: 332 + 12120 = 12452

Step 5: Simplify the Fraction

We can simplify 12452404 to its lowest form.
The greatest common divisor (GCD) of 12452 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 3113101.

Step 6: Convert to Mixed Number

The fraction 3113101 can be written as the mixed number 3083101.

Final Answer

The result of 83/101 added to 120/4 is:

83101+1204=3083101

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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