201/42 added to 27/2 in Fraction Form

The result of 201/42 added to 27/2 is: 18 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20142 and 272.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 2 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20142 to 20142
Convert 272 to 56742

Step 4: Add the Numerators

Add the numerators: 201 + 567 = 768

Step 5: Simplify the Fraction

We can simplify 76842 to its lowest form.
The greatest common divisor (GCD) of 768 and 42 is 6.
Dividing both numerator and denominator by the GCD, we get 1287.

Step 6: Convert to Mixed Number

The fraction 1287 can be written as the mixed number 1827.

Final Answer

The result of 201/42 added to 27/2 is:

20142+272=1827

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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