39/170 added to 109/2 in Fraction Form

The result of 39/170 added to 109/2 is: 54 62/85

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 39170 and 1092.

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 39170 to 39170
Convert 1092 to 9265170

Step 4: Add the Numerators

Add the numerators: 39 + 9265 = 9304

Step 5: Simplify the Fraction

We can simplify 9304170 to its lowest form.
The greatest common divisor (GCD) of 9304 and 170 is 2.
Dividing both numerator and denominator by the GCD, we get 465285.

Step 6: Convert to Mixed Number

The fraction 465285 can be written as the mixed number 546285.

Final Answer

The result of 39/170 added to 109/2 is:

39170+1092=546285

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).

Fraction Calculator

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