18/189 added to 101/3 in Fraction Form

The result of 18/189 added to 101/3 is: 33 16/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18189 and 1013.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 189 and 3 is 189.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18189 to 18189
Convert 1013 to 6363189

Step 4: Add the Numerators

Add the numerators: 18 + 6363 = 6381

Step 5: Simplify the Fraction

We can simplify 6381189 to its lowest form.
The greatest common divisor (GCD) of 6381 and 189 is 9.
Dividing both numerator and denominator by the GCD, we get 70921.

Step 6: Convert to Mixed Number

The fraction 70921 can be written as the mixed number 331621.

Final Answer

The result of 18/189 added to 101/3 is:

18189+1013=331621

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: