82/212 added to 5/2 in Fraction Form

The result of 82/212 added to 5/2 is: 2 47/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82212 and 52.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 212 and 2 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82212 to 82212
Convert 52 to 530212

Step 4: Add the Numerators

Add the numerators: 82 + 530 = 612

Step 5: Simplify the Fraction

We can simplify 612212 to its lowest form.
The greatest common divisor (GCD) of 612 and 212 is 4.
Dividing both numerator and denominator by the GCD, we get 15353.

Step 6: Convert to Mixed Number

The fraction 15353 can be written as the mixed number 24753.

Final Answer

The result of 82/212 added to 5/2 is:

82212+52=24753

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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