61/257 multiplied by 17/2 in Fraction Form

The result of 61/257 multiplied by 17/2 is: 2 9/514

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac61257\) and \(\frac172\).

Step 2: Multiply the Numerators

Multiply the numerators: 61 × 17 = 1037

Step 3: Multiply the Denominators

Multiply the denominators: 257 × 2 = 514

Step 4: Convert to Mixed Number

The fraction \(\frac1037514\) can be written as the mixed number \(2\frac9514\).

Final Answer

The result of 61/257 multiplied by 17/2 is:

\[ \frac{61}{257} \times \frac{17}{2} = 2\frac9514 \]

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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