6/170 added to 34/3 in Fraction Form

The result of 6/170 added to 34/3 is: 11 94/255

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6170 and 343.

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 6170 to 18510
Convert 343 to 5780510

Step 4: Add the Numerators

Add the numerators: 18 + 5780 = 5798

Step 5: Simplify the Fraction

We can simplify 5798510 to its lowest form.
The greatest common divisor (GCD) of 5798 and 510 is 2.
Dividing both numerator and denominator by the GCD, we get 2899255.

Step 6: Convert to Mixed Number

The fraction 2899255 can be written as the mixed number 1194255.

Final Answer

The result of 6/170 added to 34/3 is:

6170+343=1194255

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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