20/33 multiplied by 102/3 in Fraction Form

The result of 20/33 multiplied by 102/3 is: 20 20/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2033 and 1023.

Step 2: Multiply the Numerators

Multiply the numerators: 20 × 102 = 2040

Step 3: Multiply the Denominators

Multiply the denominators: 33 × 3 = 99

Step 4: Simplify the Fraction

We can simplify 204099 to its lowest form.
The greatest common divisor (GCD) of 2040 and 99 is 3.
Dividing both numerator and denominator by the GCD, we get 68033.

Step 5: Convert to Mixed Number

The fraction 68033 can be written as the mixed number 202033.

Final Answer

The result of 20/33 multiplied by 102/3 is:

2033×1023=202033

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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