11/16 multiplied by 256/3 in Fraction Form

The result of 11/16 multiplied by 256/3 is: 58 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{1} 16$ and $\frac{2}{5} 63$ .

Step 2: Multiply the Numerators

Multiply the numerators: 11 × 256 = 2816

Step 3: Multiply the Denominators

Multiply the denominators: 16 × 3 = 48

Step 4: Simplify the Fraction

We can simplify $\frac{2}{8} 1648$ to its lowest form.
The greatest common divisor (GCD) of 2816 and 48 is 16.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{7} 63$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{7} 63$ can be written as the mixed number $58 \frac{2}{3}$ .

Final Answer

The result of 11/16 multiplied by 256/3 is:

\frac{11}{16} \times \frac{256}{3} = 58 \frac{2}{3}

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).

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