3/30 added to 233/2 in Fraction Form

The result of 3/30 added to 233/2 is: 116 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 330 and 2332.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 30 and 2 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 330 to 330
Convert 2332 to 349530

Step 4: Add the Numerators

Add the numerators: 3 + 3495 = 3498

Step 5: Simplify the Fraction

We can simplify 349830 to its lowest form.
The greatest common divisor (GCD) of 3498 and 30 is 6.
Dividing both numerator and denominator by the GCD, we get 5835.

Step 6: Convert to Mixed Number

The fraction 5835 can be written as the mixed number 11635.

Final Answer

The result of 3/30 added to 233/2 is:

330+2332=11635

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: