25/178 multiplied by 233/2 in Fraction Form

The result of 25/178 multiplied by 233/2 is: 16 129/356

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac25178\) and \(\frac2332\).

Step 2: Multiply the Numerators

Multiply the numerators: 25 × 233 = 5825

Step 3: Multiply the Denominators

Multiply the denominators: 178 × 2 = 356

Step 4: Convert to Mixed Number

The fraction \(\frac5825356\) can be written as the mixed number \(16\frac129356\).

Final Answer

The result of 25/178 multiplied by 233/2 is:

\[ \frac{25}{178} \times \frac{233}{2} = 16\frac129356 \]

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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