18/44 added to 82/3 in Fraction Form

The result of 18/44 added to 82/3 is: 27 49/66

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1844 and 823.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 44 and 3 is 132.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1844 to 54132
Convert 823 to 3608132

Step 4: Add the Numerators

Add the numerators: 54 + 3608 = 3662

Step 5: Simplify the Fraction

We can simplify 3662132 to its lowest form.
The greatest common divisor (GCD) of 3662 and 132 is 2.
Dividing both numerator and denominator by the GCD, we get 183166.

Step 6: Convert to Mixed Number

The fraction 183166 can be written as the mixed number 274966.

Final Answer

The result of 18/44 added to 82/3 is:

1844+823=274966

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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