201/85 multiplied by 40/2 in Fraction Form

The result of 201/85 multiplied by 40/2 is: 47 5/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{0} 185$ and $\frac{4}{0} 2$ .

Step 2: Multiply the Numerators

Multiply the numerators: 201 × 40 = 8040

Step 3: Multiply the Denominators

Multiply the denominators: 85 × 2 = 170

Step 4: Simplify the Fraction

We can simplify $\frac{8}{0} 40170$ to its lowest form.
The greatest common divisor (GCD) of 8040 and 170 is 10.
Dividing both numerator and denominator by the GCD, we get $\frac{8}{0} 417$ .

Step 5: Convert to Mixed Number

The fraction $\frac{8}{0} 417$ can be written as the mixed number $47 \frac{5}{1} 7$ .

Final Answer

The result of 201/85 multiplied by 40/2 is:

\frac{201}{85} \times \frac{40}{2} = 47 \frac{5}{1} 7

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: