141/11 added to 81/6 in Fraction Form

The result of 141/11 added to 81/6 is: 26 7/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14111 and 816.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 6 is 66.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14111 to 84666
Convert 816 to 89166

Step 4: Add the Numerators

Add the numerators: 846 + 891 = 1737

Step 5: Simplify the Fraction

We can simplify 173766 to its lowest form.
The greatest common divisor (GCD) of 1737 and 66 is 3.
Dividing both numerator and denominator by the GCD, we get 57922.

Step 6: Convert to Mixed Number

The fraction 57922 can be written as the mixed number 26722.

Final Answer

The result of 141/11 added to 81/6 is:

14111+816=26722

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

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