15/170 added to 85/2 in Fraction Form

The result of 15/170 added to 85/2 is: 42 10/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15170 and 852.

Step 2: Find the Least Common Multiple (LCM)

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

Step 3: Convert Fractions to Equivalent Fractions

Convert 15170 to 15170
Convert 852 to 7225170

Step 4: Add the Numerators

Add the numerators: 15 + 7225 = 7240

Step 5: Simplify the Fraction

We can simplify 7240170 to its lowest form.
The greatest common divisor (GCD) of 7240 and 170 is 10.
Dividing both numerator and denominator by the GCD, we get 72417.

Step 6: Convert to Mixed Number

The fraction 72417 can be written as the mixed number 421017.

Final Answer

The result of 15/170 added to 85/2 is:

15170+852=421017

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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