233/32 added to 24/6 in Fraction Form

The result of 233/32 added to 24/6 is: 11 9/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23332 and 246.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 32 and 6 is 96.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23332 to 69996
Convert 246 to 38496

Step 4: Add the Numerators

Add the numerators: 699 + 384 = 1083

Step 5: Simplify the Fraction

We can simplify 108396 to its lowest form.
The greatest common divisor (GCD) of 1083 and 96 is 3.
Dividing both numerator and denominator by the GCD, we get 36132.

Step 6: Convert to Mixed Number

The fraction 36132 can be written as the mixed number 11932.

Final Answer

The result of 233/32 added to 24/6 is:

23332+246=11932

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: