207/71 added to 12/2 in Fraction Form

The result of 207/71 added to 12/2 is: 8 65/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20771 and 122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 71 and 2 is 142.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20771 to 414142
Convert 122 to 852142

Step 4: Add the Numerators

Add the numerators: 414 + 852 = 1266

Step 5: Simplify the Fraction

We can simplify 1266142 to its lowest form.
The greatest common divisor (GCD) of 1266 and 142 is 2.
Dividing both numerator and denominator by the GCD, we get 63371.

Step 6: Convert to Mixed Number

The fraction 63371 can be written as the mixed number 86571.

Final Answer

The result of 207/71 added to 12/2 is:

20771+122=86571

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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