32/40 added to 233/3 in Fraction Form

The result of 32/40 added to 233/3 is: 78 7/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3240 and 2333.

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 3240 to 96120
Convert 2333 to 9320120

Step 4: Add the Numerators

Add the numerators: 96 + 9320 = 9416

Step 5: Simplify the Fraction

We can simplify 9416120 to its lowest form.
The greatest common divisor (GCD) of 9416 and 120 is 8.
Dividing both numerator and denominator by the GCD, we get 117715.

Step 6: Convert to Mixed Number

The fraction 117715 can be written as the mixed number 78715.

Final Answer

The result of 32/40 added to 233/3 is:

3240+2333=78715

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

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