15/255 added to 7/2 in Fraction Form

The result of 15/255 added to 7/2 is: 3 19/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15255 and 72.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 255 and 2 is 510.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15255 to 30510
Convert 72 to 1785510

Step 4: Add the Numerators

Add the numerators: 30 + 1785 = 1815

Step 5: Simplify the Fraction

We can simplify 1815510 to its lowest form.
The greatest common divisor (GCD) of 1815 and 510 is 15.
Dividing both numerator and denominator by the GCD, we get 12134.

Step 6: Convert to Mixed Number

The fraction 12134 can be written as the mixed number 31934.

Final Answer

The result of 15/255 added to 7/2 is:

15255+72=31934

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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