12/20 added to 17/6 in Fraction Form

The result of 12/20 added to 17/6 is: 3 13/30

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1220 and 176.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 20 and 6 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1220 to 3660
Convert 176 to 17060

Step 4: Add the Numerators

Add the numerators: 36 + 170 = 206

Step 5: Simplify the Fraction

We can simplify 20660 to its lowest form.
The greatest common divisor (GCD) of 206 and 60 is 2.
Dividing both numerator and denominator by the GCD, we get 10330.

Step 6: Convert to Mixed Number

The fraction 10330 can be written as the mixed number 31330.

Final Answer

The result of 12/20 added to 17/6 is:

1220+176=31330

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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