69/71 added to 68/6 in Fraction Form

The result of 69/71 added to 68/6 is: 12 65/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6971 and 686.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 71 and 6 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6971 to 414426
Convert 686 to 4828426

Step 4: Add the Numerators

Add the numerators: 414 + 4828 = 5242

Step 5: Simplify the Fraction

We can simplify 5242426 to its lowest form.
The greatest common divisor (GCD) of 5242 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 2621213.

Step 6: Convert to Mixed Number

The fraction 2621213 can be written as the mixed number 1265213.

Final Answer

The result of 69/71 added to 68/6 is:

6971+686=1265213

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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