3/39 added to 28/2 in Fraction Form

The result of 3/39 added to 28/2 is: 14 1/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 339 and 282.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 2 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 339 to 678
Convert 282 to 109278

Step 4: Add the Numerators

Add the numerators: 6 + 1092 = 1098

Step 5: Simplify the Fraction

We can simplify 109878 to its lowest form.
The greatest common divisor (GCD) of 1098 and 78 is 6.
Dividing both numerator and denominator by the GCD, we get 18313.

Step 6: Convert to Mixed Number

The fraction 18313 can be written as the mixed number 14113.

Final Answer

The result of 3/39 added to 28/2 is:

339+282=14113

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: