17/125 added to 102/2 in Fraction Form

The result of 17/125 added to 102/2 is: 51 17/125

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17125 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 125 and 2 is 250.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17125 to 34250
Convert 1022 to 12750250

Step 4: Add the Numerators

Add the numerators: 34 + 12750 = 12784

Step 5: Simplify the Fraction

We can simplify 12784250 to its lowest form.
The greatest common divisor (GCD) of 12784 and 250 is 2.
Dividing both numerator and denominator by the GCD, we get 6392125.

Step 6: Convert to Mixed Number

The fraction 6392125 can be written as the mixed number 5117125.

Final Answer

The result of 17/125 added to 102/2 is:

17125+1022=5117125

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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