2/108 added to 24/3 in Fraction Form

The result of 2/108 added to 24/3 is: 8 1/54

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2108 and 243.

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 243 to 864108

Step 4: Add the Numerators

Add the numerators: 2 + 864 = 866

Step 5: Simplify the Fraction

We can simplify 866108 to its lowest form.
The greatest common divisor (GCD) of 866 and 108 is 2.
Dividing both numerator and denominator by the GCD, we get 43354.

Step 6: Convert to Mixed Number

The fraction 43354 can be written as the mixed number 8154.

Final Answer

The result of 2/108 added to 24/3 is:

2108+243=8154

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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