81/212 added to 39/4 in Fraction Form

The result of 81/212 added to 39/4 is: 10 7/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81212 and 394.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 212 and 4 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81212 to 81212
Convert 394 to 2067212

Step 4: Add the Numerators

Add the numerators: 81 + 2067 = 2148

Step 5: Simplify the Fraction

We can simplify 2148212 to its lowest form.
The greatest common divisor (GCD) of 2148 and 212 is 4.
Dividing both numerator and denominator by the GCD, we get 53753.

Step 6: Convert to Mixed Number

The fraction 53753 can be written as the mixed number 10753.

Final Answer

The result of 81/212 added to 39/4 is:

81212+394=10753

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).

Fraction Calculator

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