11/9 added to 92/6 in Fraction Form

The result of 11/9 added to 92/6 is: 16 5/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 119 and 926.

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 119 to 2218
Convert 926 to 27618

Step 4: Add the Numerators

Add the numerators: 22 + 276 = 298

Step 5: Simplify the Fraction

We can simplify 29818 to its lowest form.
The greatest common divisor (GCD) of 298 and 18 is 2.
Dividing both numerator and denominator by the GCD, we get 1499.

Step 6: Convert to Mixed Number

The fraction 1499 can be written as the mixed number 1659.

Final Answer

The result of 11/9 added to 92/6 is:

119+926=1659

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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