201/44 added to 33/4 in Fraction Form

The result of 201/44 added to 33/4 is: 12 9/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20144 and 334.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 44 and 4 is 44.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20144 to 20144
Convert 334 to 36344

Step 4: Add the Numerators

Add the numerators: 201 + 363 = 564

Step 5: Simplify the Fraction

We can simplify 56444 to its lowest form.
The greatest common divisor (GCD) of 564 and 44 is 4.
Dividing both numerator and denominator by the GCD, we get 14111.

Step 6: Convert to Mixed Number

The fraction 14111 can be written as the mixed number 12911.

Final Answer

The result of 201/44 added to 33/4 is:

20144+334=12911

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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