14/3 multiplied by 32/2 in Fraction Form

The result of 14/3 multiplied by 32/2 is: 74 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 143 and 322.

Step 2: Multiply the Numerators

Multiply the numerators: 14 × 32 = 448

Step 3: Multiply the Denominators

Multiply the denominators: 3 × 2 = 6

Step 4: Simplify the Fraction

We can simplify 4486 to its lowest form.
The greatest common divisor (GCD) of 448 and 6 is 2.
Dividing both numerator and denominator by the GCD, we get 2243.

Step 5: Convert to Mixed Number

The fraction 2243 can be written as the mixed number 7423.

Final Answer

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

143×322=7423

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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