8/19 added to 20/4 in Fraction Form

The result of 8/19 added to 20/4 is: 5 8/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 819 and 204.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 19 and 4 is 76.

Step 3: Convert Fractions to Equivalent Fractions

Convert 819 to 3276
Convert 204 to 38076

Step 4: Add the Numerators

Add the numerators: 32 + 380 = 412

Step 5: Simplify the Fraction

We can simplify 41276 to its lowest form.
The greatest common divisor (GCD) of 412 and 76 is 4.
Dividing both numerator and denominator by the GCD, we get 10319.

Step 6: Convert to Mixed Number

The fraction 10319 can be written as the mixed number 5819.

Final Answer

The result of 8/19 added to 20/4 is:

819+204=5819

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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