24/81 multiplied by 45/3 in Fraction Form

The result of 24/81 multiplied by 45/3 is: 4 4/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 2481 and 453.

Step 2: Multiply the Numerators

Multiply the numerators: 24 × 45 = 1080

Step 3: Multiply the Denominators

Multiply the denominators: 81 × 3 = 243

Step 4: Simplify the Fraction

We can simplify 1080243 to its lowest form.
The greatest common divisor (GCD) of 1080 and 243 is 27.
Dividing both numerator and denominator by the GCD, we get 409.

Step 5: Convert to Mixed Number

The fraction 409 can be written as the mixed number 449.

Final Answer

The result of 24/81 multiplied by 45/3 is:

2481×453=449

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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