81/192 added to 12/2 in Fraction Form

The result of 81/192 added to 12/2 is: 6 27/64

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81192 and 122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 192 and 2 is 192.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81192 to 81192
Convert 122 to 1152192

Step 4: Add the Numerators

Add the numerators: 81 + 1152 = 1233

Step 5: Simplify the Fraction

We can simplify 1233192 to its lowest form.
The greatest common divisor (GCD) of 1233 and 192 is 3.
Dividing both numerator and denominator by the GCD, we get 41164.

Step 6: Convert to Mixed Number

The fraction 41164 can be written as the mixed number 62764.

Final Answer

The result of 81/192 added to 12/2 is:

81192+122=62764

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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