23/256 multiplied by 10/3 in Fraction Form

The result of 23/256 multiplied by 10/3 is: 115/384

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{3} 256$ and $\frac{1}{0} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 23 × 10 = 230

Step 3: Multiply the Denominators

Multiply the denominators: 256 × 3 = 768

Step 4: Simplify the Fraction

We can simplify $\frac{2}{3} 0768$ to its lowest form.
The greatest common divisor (GCD) of 230 and 768 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{1} 5384$ .

Final Answer

The result of 23/256 multiplied by 10/3 is:

\frac{23}{256} \times \frac{10}{3} = \frac{1}{1} 5384

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$

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).

Fraction Calculator

Calculate operations between any two fractions: