241/17 added to 15/3 in Fraction Form

The result of 241/17 added to 15/3 is: 19 3/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24117 and 153.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 3 is 51.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24117 to 72351
Convert 153 to 25551

Step 4: Add the Numerators

Add the numerators: 723 + 255 = 978

Step 5: Simplify the Fraction

We can simplify 97851 to its lowest form.
The greatest common divisor (GCD) of 978 and 51 is 3.
Dividing both numerator and denominator by the GCD, we get 32617.

Step 6: Convert to Mixed Number

The fraction 32617 can be written as the mixed number 19317.

Final Answer

The result of 241/17 added to 15/3 is:

24117+153=19317

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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