12/211 added to 72/4 in Fraction Form

The result of 12/211 added to 72/4 is: 18 12/211

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12211 and 724.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 211 and 4 is 844.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12211 to 48844
Convert 724 to 15192844

Step 4: Add the Numerators

Add the numerators: 48 + 15192 = 15240

Step 5: Simplify the Fraction

We can simplify 15240844 to its lowest form.
The greatest common divisor (GCD) of 15240 and 844 is 4.
Dividing both numerator and denominator by the GCD, we get 3810211.

Step 6: Convert to Mixed Number

The fraction 3810211 can be written as the mixed number 1812211.

Final Answer

The result of 12/211 added to 72/4 is:

12211+724=1812211

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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