39/5 added to 99/6 in Fraction Form

The result of 39/5 added to 99/6 is: 24 3/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 395 and 996.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 5 and 6 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 395 to 23430
Convert 996 to 49530

Step 4: Add the Numerators

Add the numerators: 234 + 495 = 729

Step 5: Simplify the Fraction

We can simplify 72930 to its lowest form.
The greatest common divisor (GCD) of 729 and 30 is 3.
Dividing both numerator and denominator by the GCD, we get 24310.

Step 6: Convert to Mixed Number

The fraction 24310 can be written as the mixed number 24310.

Final Answer

The result of 39/5 added to 99/6 is:

395+996=24310

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: