191/81 added to 42/2 in Fraction Form

The result of 191/81 added to 42/2 is: 23 29/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19181 and 422.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 2 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19181 to 382162
Convert 422 to 3402162

Step 4: Add the Numerators

Add the numerators: 382 + 3402 = 3784

Step 5: Simplify the Fraction

We can simplify 3784162 to its lowest form.
The greatest common divisor (GCD) of 3784 and 162 is 2.
Dividing both numerator and denominator by the GCD, we get 189281.

Step 6: Convert to Mixed Number

The fraction 189281 can be written as the mixed number 232981.

Final Answer

The result of 191/81 added to 42/2 is:

19181+422=232981

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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