100/170 added to 8/3 in Fraction Form

The result of 100/170 added to 8/3 is: 3 13/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 100170 and 83.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 170 and 3 is 510.

Step 3: Convert Fractions to Equivalent Fractions

Convert 100170 to 300510
Convert 83 to 1360510

Step 4: Add the Numerators

Add the numerators: 300 + 1360 = 1660

Step 5: Simplify the Fraction

We can simplify 1660510 to its lowest form.
The greatest common divisor (GCD) of 1660 and 510 is 10.
Dividing both numerator and denominator by the GCD, we get 16651.

Step 6: Convert to Mixed Number

The fraction 16651 can be written as the mixed number 31351.

Final Answer

The result of 100/170 added to 8/3 is:

100170+83=31351

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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