222/81 added to 23/4 in Fraction Form

The result of 222/81 added to 23/4 is: 8 53/108

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22281 and 234.

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 22281 to 888324
Convert 234 to 1863324

Step 4: Add the Numerators

Add the numerators: 888 + 1863 = 2751

Step 5: Simplify the Fraction

We can simplify 2751324 to its lowest form.
The greatest common divisor (GCD) of 2751 and 324 is 3.
Dividing both numerator and denominator by the GCD, we get 917108.

Step 6: Convert to Mixed Number

The fraction 917108 can be written as the mixed number 853108.

Final Answer

The result of 222/81 added to 23/4 is:

22281+234=853108

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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