201/87 added to 20/6 in Fraction Form

The result of 201/87 added to 20/6 is: 5 56/87

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20187 and 206.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 87 and 6 is 174.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20187 to 402174
Convert 206 to 580174

Step 4: Add the Numerators

Add the numerators: 402 + 580 = 982

Step 5: Simplify the Fraction

We can simplify 982174 to its lowest form.
The greatest common divisor (GCD) of 982 and 174 is 2.
Dividing both numerator and denominator by the GCD, we get 49187.

Step 6: Convert to Mixed Number

The fraction 49187 can be written as the mixed number 55687.

Final Answer

The result of 201/87 added to 20/6 is:

20187+206=55687

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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