81/122 added to 53/2 in Fraction Form

The result of 81/122 added to 53/2 is: 27 10/61

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81122 and 532.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 122 and 2 is 122.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81122 to 81122
Convert 532 to 3233122

Step 4: Add the Numerators

Add the numerators: 81 + 3233 = 3314

Step 5: Simplify the Fraction

We can simplify 3314122 to its lowest form.
The greatest common divisor (GCD) of 3314 and 122 is 2.
Dividing both numerator and denominator by the GCD, we get 165761.

Step 6: Convert to Mixed Number

The fraction 165761 can be written as the mixed number 271061.

Final Answer

The result of 81/122 added to 53/2 is:

81122+532=271061

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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