18/159 added to 112/2 in Fraction Form

The result of 18/159 added to 112/2 is: 56 6/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18159 and 1122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 2 is 318.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18159 to 36318
Convert 1122 to 17808318

Step 4: Add the Numerators

Add the numerators: 36 + 17808 = 17844

Step 5: Simplify the Fraction

We can simplify 17844318 to its lowest form.
The greatest common divisor (GCD) of 17844 and 318 is 6.
Dividing both numerator and denominator by the GCD, we get 297453.

Step 6: Convert to Mixed Number

The fraction 297453 can be written as the mixed number 56653.

Final Answer

The result of 18/159 added to 112/2 is:

18159+1122=56653

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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