69/71 added to 188/2 in Fraction Form

The result of 69/71 added to 188/2 is: 94 69/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6971 and 1882.

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 6971 to 138142
Convert 1882 to 13348142

Step 4: Add the Numerators

Add the numerators: 138 + 13348 = 13486

Step 5: Simplify the Fraction

We can simplify 13486142 to its lowest form.
The greatest common divisor (GCD) of 13486 and 142 is 2.
Dividing both numerator and denominator by the GCD, we get 674371.

Step 6: Convert to Mixed Number

The fraction 674371 can be written as the mixed number 946971.

Final Answer

The result of 69/71 added to 188/2 is:

6971+1882=946971

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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