42/99 multiplied by 82/3 in Fraction Form

The result of 42/99 multiplied by 82/3 is: 11 59/99

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{2} 99$ and $\frac{8}{2} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 42 × 82 = 3444

Step 3: Multiply the Denominators

Multiply the denominators: 99 × 3 = 297

Step 4: Simplify the Fraction

We can simplify $\frac{3}{4} 44297$ to its lowest form.
The greatest common divisor (GCD) of 3444 and 297 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{1} 4899$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{1} 4899$ can be written as the mixed number $11 \frac{5}{9} 99$ .

Final Answer

The result of 42/99 multiplied by 82/3 is:

\frac{42}{99} \times \frac{82}{3} = 11 \frac{5}{9} 99

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: