16/11 added to 82/4 in Fraction Form

The result of 16/11 added to 82/4 is: 21 21/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1611 and 824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 4 is 44.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1611 to 6444
Convert 824 to 90244

Step 4: Add the Numerators

Add the numerators: 64 + 902 = 966

Step 5: Simplify the Fraction

We can simplify 96644 to its lowest form.
The greatest common divisor (GCD) of 966 and 44 is 2.
Dividing both numerator and denominator by the GCD, we get 48322.

Step 6: Convert to Mixed Number

The fraction 48322 can be written as the mixed number 212122.

Final Answer

The result of 16/11 added to 82/4 is:

1611+824=212122

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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