11/117 added to 102/6 in Fraction Form

The result of 11/117 added to 102/6 is: 17 11/117

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11117 and 1026.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 117 and 6 is 234.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11117 to 22234
Convert 1026 to 3978234

Step 4: Add the Numerators

Add the numerators: 22 + 3978 = 4000

Step 5: Simplify the Fraction

We can simplify 4000234 to its lowest form.
The greatest common divisor (GCD) of 4000 and 234 is 2.
Dividing both numerator and denominator by the GCD, we get 2000117.

Step 6: Convert to Mixed Number

The fraction 2000117 can be written as the mixed number 1711117.

Final Answer

The result of 11/117 added to 102/6 is:

11117+1026=1711117

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: