22/99 added to 89/4 in Fraction Form

The result of 22/99 added to 89/4 is: 22 17/36

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2299 and 894.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 4 is 396.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2299 to 88396
Convert 894 to 8811396

Step 4: Add the Numerators

Add the numerators: 88 + 8811 = 8899

Step 5: Simplify the Fraction

We can simplify 8899396 to its lowest form.
The greatest common divisor (GCD) of 8899 and 396 is 11.
Dividing both numerator and denominator by the GCD, we get 80936.

Step 6: Convert to Mixed Number

The fraction 80936 can be written as the mixed number 221736.

Final Answer

The result of 22/99 added to 89/4 is:

2299+894=221736

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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