40/233 multiplied by 47/2 in Fraction Form

The result of 40/233 multiplied by 47/2 is: 4 8/233

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{0} 233$ and $\frac{4}{7} 2$ .

Step 2: Multiply the Numerators

Multiply the numerators: 40 × 47 = 1880

Step 3: Multiply the Denominators

Multiply the denominators: 233 × 2 = 466

Step 4: Simplify the Fraction

We can simplify $\frac{1}{8} 80466$ to its lowest form.
The greatest common divisor (GCD) of 1880 and 466 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{9}{4} 0233$ .

Step 5: Convert to Mixed Number

The fraction $\frac{9}{4} 0233$ can be written as the mixed number $4 \frac{8}{2} 33$ .

Final Answer

The result of 40/233 multiplied by 47/2 is:

\frac{40}{233} \times \frac{47}{2} = 4 \frac{8}{2} 33

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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