18/9 added to 211/4 in Fraction Form

The result of 18/9 added to 211/4 is: 54 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 189 and 2114.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 189 to 7236
Convert 2114 to 189936

Step 4: Add the Numerators

Add the numerators: 72 + 1899 = 1971

Step 5: Simplify the Fraction

We can simplify 197136 to its lowest form.
The greatest common divisor (GCD) of 1971 and 36 is 9.
Dividing both numerator and denominator by the GCD, we get 2194.

Step 6: Convert to Mixed Number

The fraction 2194 can be written as the mixed number 5434.

Final Answer

The result of 18/9 added to 211/4 is:

189+2114=5434

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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