201/27 added to 51/2 in Fraction Form

The result of 201/27 added to 51/2 is: 32 17/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20127 and 512.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 2 is 54.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20127 to 40254
Convert 512 to 137754

Step 4: Add the Numerators

Add the numerators: 402 + 1377 = 1779

Step 5: Simplify the Fraction

We can simplify 177954 to its lowest form.
The greatest common divisor (GCD) of 1779 and 54 is 3.
Dividing both numerator and denominator by the GCD, we get 59318.

Step 6: Convert to Mixed Number

The fraction 59318 can be written as the mixed number 321718.

Final Answer

The result of 201/27 added to 51/2 is:

20127+512=321718

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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