15/226 added to 17/2 in Fraction Form

The result of 15/226 added to 17/2 is: 8 64/113

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15226 and 172.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 226 and 2 is 226.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15226 to 15226
Convert 172 to 1921226

Step 4: Add the Numerators

Add the numerators: 15 + 1921 = 1936

Step 5: Simplify the Fraction

We can simplify 1936226 to its lowest form.
The greatest common divisor (GCD) of 1936 and 226 is 2.
Dividing both numerator and denominator by the GCD, we get 968113.

Step 6: Convert to Mixed Number

The fraction 968113 can be written as the mixed number 864113.

Final Answer

The result of 15/226 added to 17/2 is:

15226+172=864113

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).

Fraction Calculator

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