13/82 multiplied by 307/3 in Fraction Form

The result of 13/82 multiplied by 307/3 is: 16 55/246

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac1382\) and \(\frac3073\).

Step 2: Multiply the Numerators

Multiply the numerators: 13 × 307 = 3991

Step 3: Multiply the Denominators

Multiply the denominators: 82 × 3 = 246

Step 4: Convert to Mixed Number

The fraction \(\frac3991246\) can be written as the mixed number \(16\frac55246\).

Final Answer

The result of 13/82 multiplied by 307/3 is:

\[ \frac{13}{82} \times \frac{307}{3} = 16\frac55246 \]

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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