17/102 added to 101/2 in Fraction Form

The result of 17/102 added to 101/2 is: 50 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17102 and 1012.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17102 to 17102
Convert 1012 to 5151102

Step 4: Add the Numerators

Add the numerators: 17 + 5151 = 5168

Step 5: Simplify the Fraction

We can simplify 5168102 to its lowest form.
The greatest common divisor (GCD) of 5168 and 102 is 34.
Dividing both numerator and denominator by the GCD, we get 1523.

Step 6: Convert to Mixed Number

The fraction 1523 can be written as the mixed number 5023.

Final Answer

The result of 17/102 added to 101/2 is:

17102+1012=5023

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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