67/71 added to 116/2 in Fraction Form

The result of 67/71 added to 116/2 is: 58 67/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6771 and 1162.

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 6771 to 134142
Convert 1162 to 8236142

Step 4: Add the Numerators

Add the numerators: 134 + 8236 = 8370

Step 5: Simplify the Fraction

We can simplify 8370142 to its lowest form.
The greatest common divisor (GCD) of 8370 and 142 is 2.
Dividing both numerator and denominator by the GCD, we get 418571.

Step 6: Convert to Mixed Number

The fraction 418571 can be written as the mixed number 586771.

Final Answer

The result of 67/71 added to 116/2 is:

6771+1162=586771

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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