31/119 added to 81/3 in Fraction Form

The result of 31/119 added to 81/3 is: 27 31/119

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 31119 and 813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 119 and 3 is 357.

Step 3: Convert Fractions to Equivalent Fractions

Convert 31119 to 93357
Convert 813 to 9639357

Step 4: Add the Numerators

Add the numerators: 93 + 9639 = 9732

Step 5: Simplify the Fraction

We can simplify 9732357 to its lowest form.
The greatest common divisor (GCD) of 9732 and 357 is 3.
Dividing both numerator and denominator by the GCD, we get 3244119.

Step 6: Convert to Mixed Number

The fraction 3244119 can be written as the mixed number 2731119.

Final Answer

The result of 31/119 added to 81/3 is:

31119+813=2731119

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: