17/189 added to 101/3 in Fraction Form

The result of 17/189 added to 101/3 is: 33 143/189

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17189 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 17189 to 17189
Convert 1013 to 6363189

Step 4: Add the Numerators

Add the numerators: 17 + 6363 = 6380

Step 5: Convert to Mixed Number

The fraction 6380189 can be written as the mixed number 33143189.

Final Answer

The result of 17/189 added to 101/3 is:

17189+1013=33143189

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: