11/81 added to 46/6 in Fraction Form

The result of 11/81 added to 46/6 is: 7 65/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1181 and 466.

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 1181 to 22162
Convert 466 to 1242162

Step 4: Add the Numerators

Add the numerators: 22 + 1242 = 1264

Step 5: Simplify the Fraction

We can simplify 1264162 to its lowest form.
The greatest common divisor (GCD) of 1264 and 162 is 2.
Dividing both numerator and denominator by the GCD, we get 63281.

Step 6: Convert to Mixed Number

The fraction 63281 can be written as the mixed number 76581.

Final Answer

The result of 11/81 added to 46/6 is:

1181+466=76581

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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