2/108 added to 159/3 in Fraction Form

The result of 2/108 added to 159/3 is: 53 1/54

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2108 and 1593.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 108 and 3 is 108.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2108 to 2108
Convert 1593 to 5724108

Step 4: Add the Numerators

Add the numerators: 2 + 5724 = 5726

Step 5: Simplify the Fraction

We can simplify 5726108 to its lowest form.
The greatest common divisor (GCD) of 5726 and 108 is 2.
Dividing both numerator and denominator by the GCD, we get 286354.

Step 6: Convert to Mixed Number

The fraction 286354 can be written as the mixed number 53154.

Final Answer

The result of 2/108 added to 159/3 is:

2108+1593=53154

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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