19/32 multiplied by 233/2 in Fraction Form

The result of 19/32 multiplied by 233/2 is: 69 11/64

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{9} 32$ and $\frac{2}{3} 32$ .

Step 2: Multiply the Numerators

Multiply the numerators: 19 × 233 = 4427

Step 3: Multiply the Denominators

Multiply the denominators: 32 × 2 = 64

Step 4: Convert to Mixed Number

The fraction $\frac{4}{4} 2764$ can be written as the mixed number $69 \frac{1}{1} 64$ .

Final Answer

The result of 19/32 multiplied by 233/2 is:

\frac{19}{32} \times \frac{233}{2} = 69 \frac{1}{1} 64

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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