107/127 multiplied by 241/3 in Fraction Form

The result of 107/127 multiplied by 241/3 is: 67 260/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac107127\) and \(\frac2413\).

Step 2: Multiply the Numerators

Multiply the numerators: 107 × 241 = 25787

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 3 = 381

Step 4: Convert to Mixed Number

The fraction \(\frac25787381\) can be written as the mixed number \(67\frac260381\).

Final Answer

The result of 107/127 multiplied by 241/3 is:

\[ \frac{107}{127} \times \frac{241}{3} = 67\frac260381 \]

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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