82/21 multiplied by 102/3 in Fraction Form

The result of 82/21 multiplied by 102/3 is: 132 16/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{8}{2} 21$ and $\frac{1}{0} 23$ .

Step 2: Multiply the Numerators

Multiply the numerators: 82 × 102 = 8364

Step 3: Multiply the Denominators

Multiply the denominators: 21 × 3 = 63

Step 4: Simplify the Fraction

We can simplify $\frac{8}{3} 6463$ to its lowest form.
The greatest common divisor (GCD) of 8364 and 63 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{7} 8821$ .

Step 5: Convert to Mixed Number

The fraction $\frac{2}{7} 8821$ can be written as the mixed number $132 \frac{1}{6} 21$ .

Final Answer

The result of 82/21 multiplied by 102/3 is:

\frac{82}{21} \times \frac{102}{3} = 132 \frac{1}{6} 21

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).

Fraction Calculator

Calculate operations between any two fractions: