31/170 added to 19/6 in Fraction Form

The result of 31/170 added to 19/6 is: 3 89/255

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 31170 and 196.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 170 and 6 is 510.

Step 3: Convert Fractions to Equivalent Fractions

Convert 31170 to 93510
Convert 196 to 1615510

Step 4: Add the Numerators

Add the numerators: 93 + 1615 = 1708

Step 5: Simplify the Fraction

We can simplify 1708510 to its lowest form.
The greatest common divisor (GCD) of 1708 and 510 is 2.
Dividing both numerator and denominator by the GCD, we get 854255.

Step 6: Convert to Mixed Number

The fraction 854255 can be written as the mixed number 389255.

Final Answer

The result of 31/170 added to 19/6 is:

31170+196=389255

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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