6/9 added to 7/6 in Fraction Form

The result of 6/9 added to 7/6 is: 1 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69 and 76.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 6 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69 to 1218
Convert 76 to 2118

Step 4: Add the Numerators

Add the numerators: 12 + 21 = 33

Step 5: Simplify the Fraction

We can simplify 3318 to its lowest form.
The greatest common divisor (GCD) of 33 and 18 is 3.
Dividing both numerator and denominator by the GCD, we get 116.

Step 6: Convert to Mixed Number

The fraction 116 can be written as the mixed number 156.

Final Answer

The result of 6/9 added to 7/6 is:

69+76=156

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).

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