69/81 added to 146/3 in Fraction Form

The result of 69/81 added to 146/3 is: 49 14/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6981 and 1463.

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 1463 to 394281

Step 4: Add the Numerators

Add the numerators: 69 + 3942 = 4011

Step 5: Simplify the Fraction

We can simplify 401181 to its lowest form.
The greatest common divisor (GCD) of 4011 and 81 is 3.
Dividing both numerator and denominator by the GCD, we get 133727.

Step 6: Convert to Mixed Number

The fraction 133727 can be written as the mixed number 491427.

Final Answer

The result of 69/81 added to 146/3 is:

6981+1463=491427

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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