120/101 added to 32/2 in Fraction Form

The result of 120/101 added to 32/2 is: 17 19/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 120101 and 322.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 2 is 202.

Step 3: Convert Fractions to Equivalent Fractions

Convert 120101 to 240202
Convert 322 to 3232202

Step 4: Add the Numerators

Add the numerators: 240 + 3232 = 3472

Step 5: Simplify the Fraction

We can simplify 3472202 to its lowest form.
The greatest common divisor (GCD) of 3472 and 202 is 2.
Dividing both numerator and denominator by the GCD, we get 1736101.

Step 6: Convert to Mixed Number

The fraction 1736101 can be written as the mixed number 1719101.

Final Answer

The result of 120/101 added to 32/2 is:

120101+322=1719101

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: