45/233 multiplied by 181/2 in Fraction Form

The result of 45/233 multiplied by 181/2 is: 17 223/466

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac45233\) and \(\frac1812\).

Step 2: Multiply the Numerators

Multiply the numerators: 45 × 181 = 8145

Step 3: Multiply the Denominators

Multiply the denominators: 233 × 2 = 466

Step 4: Convert to Mixed Number

The fraction \(\frac8145466\) can be written as the mixed number \(17\frac223466\).

Final Answer

The result of 45/233 multiplied by 181/2 is:

\[ \frac{45}{233} \times \frac{181}{2} = 17\frac223466 \]

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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