38/24 multiplied by 9/2 in Fraction Form

The result of 38/24 multiplied by 9/2 is: 7 1/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 3824 and 92.

Step 2: Multiply the Numerators

Multiply the numerators: 38 × 9 = 342

Step 3: Multiply the Denominators

Multiply the denominators: 24 × 2 = 48

Step 4: Simplify the Fraction

We can simplify 34248 to its lowest form.
The greatest common divisor (GCD) of 342 and 48 is 6.
Dividing both numerator and denominator by the GCD, we get 578.

Step 5: Convert to Mixed Number

The fraction 578 can be written as the mixed number 718.

Final Answer

The result of 38/24 multiplied by 9/2 is:

3824×92=718

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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