69/81 added to 137/3 in Fraction Form

The result of 69/81 added to 137/3 is: 46 14/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6981 and 1373.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 3 is 81.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6981 to 6981
Convert 1373 to 369981

Step 4: Add the Numerators

Add the numerators: 69 + 3699 = 3768

Step 5: Simplify the Fraction

We can simplify 376881 to its lowest form.
The greatest common divisor (GCD) of 3768 and 81 is 3.
Dividing both numerator and denominator by the GCD, we get 125627.

Step 6: Convert to Mixed Number

The fraction 125627 can be written as the mixed number 461427.

Final Answer

The result of 69/81 added to 137/3 is:

6981+1373=461427

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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