69/81 added to 152/6 in Fraction Form

The result of 69/81 added to 152/6 is: 26 5/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6981 and 1526.

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 6981 to 138162
Convert 1526 to 4104162

Step 4: Add the Numerators

Add the numerators: 138 + 4104 = 4242

Step 5: Simplify the Fraction

We can simplify 4242162 to its lowest form.
The greatest common divisor (GCD) of 4242 and 162 is 6.
Dividing both numerator and denominator by the GCD, we get 70727.

Step 6: Convert to Mixed Number

The fraction 70727 can be written as the mixed number 26527.

Final Answer

The result of 69/81 added to 152/6 is:

6981+1526=26527

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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