19/9 added to 76/2 in Fraction Form

The result of 19/9 added to 76/2 is: 40 1/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 199 and 762.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 2 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 199 to 3818
Convert 762 to 68418

Step 4: Add the Numerators

Add the numerators: 38 + 684 = 722

Step 5: Simplify the Fraction

We can simplify 72218 to its lowest form.
The greatest common divisor (GCD) of 722 and 18 is 2.
Dividing both numerator and denominator by the GCD, we get 3619.

Step 6: Convert to Mixed Number

The fraction 3619 can be written as the mixed number 4019.

Final Answer

The result of 19/9 added to 76/2 is:

199+762=4019

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: