200/85 added to 27/2 in Fraction Form

The result of 200/85 added to 27/2 is: 15 29/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20085 and 272.

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 20085 to 400170
Convert 272 to 2295170

Step 4: Add the Numerators

Add the numerators: 400 + 2295 = 2695

Step 5: Simplify the Fraction

We can simplify 2695170 to its lowest form.
The greatest common divisor (GCD) of 2695 and 170 is 5.
Dividing both numerator and denominator by the GCD, we get 53934.

Step 6: Convert to Mixed Number

The fraction 53934 can be written as the mixed number 152934.

Final Answer

The result of 200/85 added to 27/2 is:

20085+272=152934

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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