32/47 added to 9/3 in Fraction Form

The result of 32/47 added to 9/3 is: 3 32/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3247 and 93.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 3 is 141.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3247 to 96141
Convert 93 to 423141

Step 4: Add the Numerators

Add the numerators: 96 + 423 = 519

Step 5: Simplify the Fraction

We can simplify 519141 to its lowest form.
The greatest common divisor (GCD) of 519 and 141 is 3.
Dividing both numerator and denominator by the GCD, we get 17347.

Step 6: Convert to Mixed Number

The fraction 17347 can be written as the mixed number 33247.

Final Answer

The result of 32/47 added to 9/3 is:

3247+93=33247

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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