81/81 added to 9/4 in Fraction Form

The result of 81/81 added to 9/4 is: 3 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8181 and 94.

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 8181 to 324324
Convert 94 to 729324

Step 4: Add the Numerators

Add the numerators: 324 + 729 = 1053

Step 5: Simplify the Fraction

We can simplify 1053324 to its lowest form.
The greatest common divisor (GCD) of 1053 and 324 is 81.
Dividing both numerator and denominator by the GCD, we get 134.

Step 6: Convert to Mixed Number

The fraction 134 can be written as the mixed number 314.

Final Answer

The result of 81/81 added to 9/4 is:

8181+94=314

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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