82/16 added to 27/3 in Fraction Form

The result of 82/16 added to 27/3 is: 14 1/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8216 and 273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 16 and 3 is 48.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8216 to 24648
Convert 273 to 43248

Step 4: Add the Numerators

Add the numerators: 246 + 432 = 678

Step 5: Simplify the Fraction

We can simplify 67848 to its lowest form.
The greatest common divisor (GCD) of 678 and 48 is 6.
Dividing both numerator and denominator by the GCD, we get 1138.

Step 6: Convert to Mixed Number

The fraction 1138 can be written as the mixed number 1418.

Final Answer

The result of 82/16 added to 27/3 is:

8216+273=1418

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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