69/19 added to 68/6 in Fraction Form

The result of 69/19 added to 68/6 is: 14 55/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6919 and 686.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 19 and 6 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6919 to 414114
Convert 686 to 1292114

Step 4: Add the Numerators

Add the numerators: 414 + 1292 = 1706

Step 5: Simplify the Fraction

We can simplify 1706114 to its lowest form.
The greatest common divisor (GCD) of 1706 and 114 is 2.
Dividing both numerator and denominator by the GCD, we get 85357.

Step 6: Convert to Mixed Number

The fraction 85357 can be written as the mixed number 145557.

Final Answer

The result of 69/19 added to 68/6 is:

6919+686=145557

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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