83/146 multiplied by 211/6 in Fraction Form

The result of 83/146 multiplied by 211/6 is: 19 869/876

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac83146\) and \(\frac2116\).

Step 2: Multiply the Numerators

Multiply the numerators: 83 × 211 = 17513

Step 3: Multiply the Denominators

Multiply the denominators: 146 × 6 = 876

Step 4: Convert to Mixed Number

The fraction \(\frac17513876\) can be written as the mixed number \(19\frac869876\).

Final Answer

The result of 83/146 multiplied by 211/6 is:

\[ \frac{83}{146} \times \frac{211}{6} = 19\frac869876 \]

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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