200/102 multiplied by 9/2 in Fraction Form

The result of 200/102 multiplied by 9/2 is: 8 14/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{0} 0102$ and $\frac{9}{2}$ .

Step 2: Multiply the Numerators

Multiply the numerators: 200 × 9 = 1800

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 2 = 204

Step 4: Simplify the Fraction

We can simplify $\frac{1}{8} 00204$ to its lowest form.
The greatest common divisor (GCD) of 1800 and 204 is 12.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{5} 017$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{5} 017$ can be written as the mixed number $8 \frac{1}{4} 17$ .

Final Answer

The result of 200/102 multiplied by 9/2 is:

\frac{200}{102} \times \frac{9}{2} = 8 \frac{1}{4} 17

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: