201/21 added to 54/4 in Fraction Form

The result of 201/21 added to 54/4 is: 23 1/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20121 and 544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20121 to 80484
Convert 544 to 113484

Step 4: Add the Numerators

Add the numerators: 804 + 1134 = 1938

Step 5: Simplify the Fraction

We can simplify 193884 to its lowest form.
The greatest common divisor (GCD) of 1938 and 84 is 6.
Dividing both numerator and denominator by the GCD, we get 32314.

Step 6: Convert to Mixed Number

The fraction 32314 can be written as the mixed number 23114.

Final Answer

The result of 201/21 added to 54/4 is:

20121+544=23114

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).

Fraction Calculator

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