10/182 multiplied by 32/4 in Fraction Form

The result of 10/182 multiplied by 32/4 is: 40/91

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 10182 and 324.

Step 2: Multiply the Numerators

Multiply the numerators: 10 × 32 = 320

Step 3: Multiply the Denominators

Multiply the denominators: 182 × 4 = 728

Step 4: Simplify the Fraction

We can simplify 320728 to its lowest form.
The greatest common divisor (GCD) of 320 and 728 is 8.
Dividing both numerator and denominator by the GCD, we get 4091.

Final Answer

The result of 10/182 multiplied by 32/4 is:

10182×324=4091

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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