17/4 multiplied by 257/3 in Fraction Form

The result of 17/4 multiplied by 257/3 is: 364 1/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac174\) and \(\frac2573\).

Step 2: Multiply the Numerators

Multiply the numerators: 17 × 257 = 4369

Step 3: Multiply the Denominators

Multiply the denominators: 4 × 3 = 12

Step 4: Convert to Mixed Number

The fraction \(\frac436912\) can be written as the mixed number \(364\frac112\).

Final Answer

The result of 17/4 multiplied by 257/3 is:

\[ \frac{17}{4} \times \frac{257}{3} = 364\frac112 \]

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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