82/213 multiplied by 14/6 in Fraction Form

The result of 82/213 multiplied by 14/6 is: 574/639

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{8}{2} 213$ and $\frac{1}{4} 6$ .

Step 2: Multiply the Numerators

Multiply the numerators: 82 × 14 = 1148

Step 3: Multiply the Denominators

Multiply the denominators: 213 × 6 = 1278

Step 4: Simplify the Fraction

We can simplify $\frac{1}{1} 481278$ to its lowest form.
The greatest common divisor (GCD) of 1148 and 1278 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{7} 4639$ .

Final Answer

The result of 82/213 multiplied by 14/6 is:

\frac{82}{213} \times \frac{14}{6} = \frac{5}{7} 4639

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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