20/9 added to 208/4 in Fraction Form

The result of 20/9 added to 208/4 is: 54 2/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 209 and 2084.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 209 to 8036
Convert 2084 to 187236

Step 4: Add the Numerators

Add the numerators: 80 + 1872 = 1952

Step 5: Simplify the Fraction

We can simplify 195236 to its lowest form.
The greatest common divisor (GCD) of 1952 and 36 is 4.
Dividing both numerator and denominator by the GCD, we get 4889.

Step 6: Convert to Mixed Number

The fraction 4889 can be written as the mixed number 5429.

Final Answer

The result of 20/9 added to 208/4 is:

209+2084=5429

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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