5/85 added to 100/2 in Fraction Form

The result of 5/85 added to 100/2 is: 50 1/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 585 and 1002.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 2 is 170.

Step 3: Convert Fractions to Equivalent Fractions

Convert 585 to 10170
Convert 1002 to 8500170

Step 4: Add the Numerators

Add the numerators: 10 + 8500 = 8510

Step 5: Simplify the Fraction

We can simplify 8510170 to its lowest form.
The greatest common divisor (GCD) of 8510 and 170 is 10.
Dividing both numerator and denominator by the GCD, we get 85117.

Step 6: Convert to Mixed Number

The fraction 85117 can be written as the mixed number 50117.

Final Answer

The result of 5/85 added to 100/2 is:

585+1002=50117

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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