11/218 added to 72/3 in Fraction Form

The result of 11/218 added to 72/3 is: 24 11/218

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11218 and 723.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 218 and 3 is 654.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11218 to 33654
Convert 723 to 15696654

Step 4: Add the Numerators

Add the numerators: 33 + 15696 = 15729

Step 5: Simplify the Fraction

We can simplify 15729654 to its lowest form.
The greatest common divisor (GCD) of 15729 and 654 is 3.
Dividing both numerator and denominator by the GCD, we get 5243218.

Step 6: Convert to Mixed Number

The fraction 5243218 can be written as the mixed number 2411218.

Final Answer

The result of 11/218 added to 72/3 is:

11218+723=2411218

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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