22/197 added to 102/3 in Fraction Form

The result of 22/197 added to 102/3 is: 34 22/197

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22197 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 197 and 3 is 591.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22197 to 66591
Convert 1023 to 20094591

Step 4: Add the Numerators

Add the numerators: 66 + 20094 = 20160

Step 5: Simplify the Fraction

We can simplify 20160591 to its lowest form.
The greatest common divisor (GCD) of 20160 and 591 is 3.
Dividing both numerator and denominator by the GCD, we get 6720197.

Step 6: Convert to Mixed Number

The fraction 6720197 can be written as the mixed number 3422197.

Final Answer

The result of 22/197 added to 102/3 is:

22197+1023=3422197

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: