14/256 multiplied by 19/2 in Fraction Form

The result of 14/256 multiplied by 19/2 is: 133/256

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 14256 and 192.

Step 2: Multiply the Numerators

Multiply the numerators: 14 × 19 = 266

Step 3: Multiply the Denominators

Multiply the denominators: 256 × 2 = 512

Step 4: Simplify the Fraction

We can simplify 266512 to its lowest form.
The greatest common divisor (GCD) of 266 and 512 is 2.
Dividing both numerator and denominator by the GCD, we get 133256.

Final Answer

The result of 14/256 multiplied by 19/2 is:

14256×192=133256

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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