32/72 added to 201/2 in Fraction Form

The result of 32/72 added to 201/2 is: 100 17/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3272 and 2012.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 72 and 2 is 72.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3272 to 3272
Convert 2012 to 723672

Step 4: Add the Numerators

Add the numerators: 32 + 7236 = 7268

Step 5: Simplify the Fraction

We can simplify 726872 to its lowest form.
The greatest common divisor (GCD) of 7268 and 72 is 4.
Dividing both numerator and denominator by the GCD, we get 181718.

Step 6: Convert to Mixed Number

The fraction 181718 can be written as the mixed number 1001718.

Final Answer

The result of 32/72 added to 201/2 is:

3272+2012=1001718

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: