69/22 added to 201/2 in Fraction Form

The result of 69/22 added to 201/2 is: 103 7/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6922 and 2012.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 22 and 2 is 22.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6922 to 6922
Convert 2012 to 221122

Step 4: Add the Numerators

Add the numerators: 69 + 2211 = 2280

Step 5: Simplify the Fraction

We can simplify 228022 to its lowest form.
The greatest common divisor (GCD) of 2280 and 22 is 2.
Dividing both numerator and denominator by the GCD, we get 114011.

Step 6: Convert to Mixed Number

The fraction 114011 can be written as the mixed number 103711.

Final Answer

The result of 69/22 added to 201/2 is:

6922+2012=103711

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: