20/212 added to 61/3 in Fraction Form

The result of 20/212 added to 61/3 is: 20 68/159

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20212 and 613.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 212 and 3 is 636.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20212 to 60636
Convert 613 to 12932636

Step 4: Add the Numerators

Add the numerators: 60 + 12932 = 12992

Step 5: Simplify the Fraction

We can simplify 12992636 to its lowest form.
The greatest common divisor (GCD) of 12992 and 636 is 4.
Dividing both numerator and denominator by the GCD, we get 3248159.

Step 6: Convert to Mixed Number

The fraction 3248159 can be written as the mixed number 2068159.

Final Answer

The result of 20/212 added to 61/3 is:

20212+613=2068159

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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