233/40 added to 24/3 in Fraction Form

The result of 233/40 added to 24/3 is: 13 33/40

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23340 and 243.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 40 and 3 is 120.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23340 to 699120
Convert 243 to 960120

Step 4: Add the Numerators

Add the numerators: 699 + 960 = 1659

Step 5: Simplify the Fraction

We can simplify 1659120 to its lowest form.
The greatest common divisor (GCD) of 1659 and 120 is 3.
Dividing both numerator and denominator by the GCD, we get 55340.

Step 6: Convert to Mixed Number

The fraction 55340 can be written as the mixed number 133340.

Final Answer

The result of 233/40 added to 24/3 is:

23340+243=133340

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).

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