20/168 added to 49/3 in Fraction Form

The result of 20/168 added to 49/3 is: 16 19/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20168 and 493.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 168 and 3 is 168.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20168 to 20168
Convert 493 to 2744168

Step 4: Add the Numerators

Add the numerators: 20 + 2744 = 2764

Step 5: Simplify the Fraction

We can simplify 2764168 to its lowest form.
The greatest common divisor (GCD) of 2764 and 168 is 4.
Dividing both numerator and denominator by the GCD, we get 69142.

Step 6: Convert to Mixed Number

The fraction 69142 can be written as the mixed number 161942.

Final Answer

The result of 20/168 added to 49/3 is:

20168+493=161942

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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