17/256 added to 9/3 in Fraction Form

The result of 17/256 added to 9/3 is: 3 17/256

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17256 and 93.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 256 and 3 is 768.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17256 to 51768
Convert 93 to 2304768

Step 4: Add the Numerators

Add the numerators: 51 + 2304 = 2355

Step 5: Simplify the Fraction

We can simplify 2355768 to its lowest form.
The greatest common divisor (GCD) of 2355 and 768 is 3.
Dividing both numerator and denominator by the GCD, we get 785256.

Step 6: Convert to Mixed Number

The fraction 785256 can be written as the mixed number 317256.

Final Answer

The result of 17/256 added to 9/3 is:

17256+93=317256

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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