47/39 added to 82/3 in Fraction Form

The result of 47/39 added to 82/3 is: 28 7/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4739 and 823.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 3 is 39.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4739 to 4739
Convert 823 to 106639

Step 4: Add the Numerators

Add the numerators: 47 + 1066 = 1113

Step 5: Simplify the Fraction

We can simplify 111339 to its lowest form.
The greatest common divisor (GCD) of 1113 and 39 is 3.
Dividing both numerator and denominator by the GCD, we get 37113.

Step 6: Convert to Mixed Number

The fraction 37113 can be written as the mixed number 28713.

Final Answer

The result of 47/39 added to 82/3 is:

4739+823=28713

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).

Fraction Calculator

Calculate operations between any two fractions: