109/81 added to 22/4 in Fraction Form

The result of 109/81 added to 22/4 is: 6 137/162

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10981 and 224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10981 to 436324
Convert 224 to 1782324

Step 4: Add the Numerators

Add the numerators: 436 + 1782 = 2218

Step 5: Simplify the Fraction

We can simplify 2218324 to its lowest form.
The greatest common divisor (GCD) of 2218 and 324 is 2.
Dividing both numerator and denominator by the GCD, we get 1109162.

Step 6: Convert to Mixed Number

The fraction 1109162 can be written as the mixed number 6137162.

Final Answer

The result of 109/81 added to 22/4 is:

10981+224=6137162

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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