33/102 multiplied by 9/2 in Fraction Form

The result of 33/102 multiplied by 9/2 is: 1 31/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 33102 and 92.

Step 2: Multiply the Numerators

Multiply the numerators: 33 × 9 = 297

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 2 = 204

Step 4: Simplify the Fraction

We can simplify 297204 to its lowest form.
The greatest common divisor (GCD) of 297 and 204 is 3.
Dividing both numerator and denominator by the GCD, we get 9968.

Step 5: Convert to Mixed Number

The fraction 9968 can be written as the mixed number 13168.

Final Answer

The result of 33/102 multiplied by 9/2 is:

33102×92=13168

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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