32/9 multiplied by 12/3 in Fraction Form

The result of 32/9 multiplied by 12/3 is: 14 2/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 329 and 123.

Step 2: Multiply the Numerators

Multiply the numerators: 32 × 12 = 384

Step 3: Multiply the Denominators

Multiply the denominators: 9 × 3 = 27

Step 4: Simplify the Fraction

We can simplify 38427 to its lowest form.
The greatest common divisor (GCD) of 384 and 27 is 3.
Dividing both numerator and denominator by the GCD, we get 1289.

Step 5: Convert to Mixed Number

The fraction 1289 can be written as the mixed number 1429.

Final Answer

The result of 32/9 multiplied by 12/3 is:

329×123=1429

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×d

After multiplying, it's always good practice to simplify the fraction to its lowest form.

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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