118/166 added to 2/3 in Fraction Form

The result of 118/166 added to 2/3 is: 1 94/249

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 118166 and 23.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 166 and 3 is 498.

Step 3: Convert Fractions to Equivalent Fractions

Convert 118166 to 354498
Convert 23 to 332498

Step 4: Add the Numerators

Add the numerators: 354 + 332 = 686

Step 5: Simplify the Fraction

We can simplify 686498 to its lowest form.
The greatest common divisor (GCD) of 686 and 498 is 2.
Dividing both numerator and denominator by the GCD, we get 343249.

Step 6: Convert to Mixed Number

The fraction 343249 can be written as the mixed number 194249.

Final Answer

The result of 118/166 added to 2/3 is:

118166+23=194249

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: