66/9 added to 155/2 in Fraction Form

The result of 66/9 added to 155/2 is: 84 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 669 and 1552.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 2 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 669 to 13218
Convert 1552 to 139518

Step 4: Add the Numerators

Add the numerators: 132 + 1395 = 1527

Step 5: Simplify the Fraction

We can simplify 152718 to its lowest form.
The greatest common divisor (GCD) of 1527 and 18 is 3.
Dividing both numerator and denominator by the GCD, we get 5096.

Step 6: Convert to Mixed Number

The fraction 5096 can be written as the mixed number 8456.

Final Answer

The result of 66/9 added to 155/2 is:

669+1552=8456

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: