12/170 added to 120/3 in Fraction Form

The result of 12/170 added to 120/3 is: 40 6/85

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12170 and 1203.

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 12170 to 36510
Convert 1203 to 20400510

Step 4: Add the Numerators

Add the numerators: 36 + 20400 = 20436

Step 5: Simplify the Fraction

We can simplify 20436510 to its lowest form.
The greatest common divisor (GCD) of 20436 and 510 is 6.
Dividing both numerator and denominator by the GCD, we get 340685.

Step 6: Convert to Mixed Number

The fraction 340685 can be written as the mixed number 40685.

Final Answer

The result of 12/170 added to 120/3 is:

12170+1203=40685

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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