14/81 added to 168/6 in Fraction Form

The result of 14/81 added to 168/6 is: 28 14/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1481 and 1686.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 6 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1481 to 28162
Convert 1686 to 4536162

Step 4: Add the Numerators

Add the numerators: 28 + 4536 = 4564

Step 5: Simplify the Fraction

We can simplify 4564162 to its lowest form.
The greatest common divisor (GCD) of 4564 and 162 is 2.
Dividing both numerator and denominator by the GCD, we get 228281.

Step 6: Convert to Mixed Number

The fraction 228281 can be written as the mixed number 281481.

Final Answer

The result of 14/81 added to 168/6 is:

1481+1686=281481

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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