118/19 added to 11/6 in Fraction Form

The result of 118/19 added to 11/6 is: 8 5/114

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11819 and 116.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 19 and 6 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11819 to 708114
Convert 116 to 209114

Step 4: Add the Numerators

Add the numerators: 708 + 209 = 917

Step 5: Convert to Mixed Number

The fraction 917114 can be written as the mixed number 85114.

Final Answer

The result of 118/19 added to 11/6 is:

11819+116=85114

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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