17/256 multiplied by 8/3 in Fraction Form

The result of 17/256 multiplied by 8/3 is: 17/96

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 17256 and 83.

Step 2: Multiply the Numerators

Multiply the numerators: 17 × 8 = 136

Step 3: Multiply the Denominators

Multiply the denominators: 256 × 3 = 768

Step 4: Simplify the Fraction

We can simplify 136768 to its lowest form.
The greatest common divisor (GCD) of 136 and 768 is 8.
Dividing both numerator and denominator by the GCD, we get 1796.

Final Answer

The result of 17/256 multiplied by 8/3 is:

17256×83=1796

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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