27/81 added to 208/4 in Fraction Form

The result of 27/81 added to 208/4 is: 52 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2781 and 2084.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2781 to 108324
Convert 2084 to 16848324

Step 4: Add the Numerators

Add the numerators: 108 + 16848 = 16956

Step 5: Simplify the Fraction

We can simplify 16956324 to its lowest form.
The greatest common divisor (GCD) of 16956 and 324 is 108.
Dividing both numerator and denominator by the GCD, we get 1573.

Step 6: Convert to Mixed Number

The fraction 1573 can be written as the mixed number 5213.

Final Answer

The result of 27/81 added to 208/4 is:

2781+2084=5213

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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