Question

How do you simplify \[\dfrac{3}{5}\] divided by \[2\] ?.

Answer 1

Hint: These types of questions are pretty easy to solve once we understand the underlying concepts behind the problem. This particular question requires a fair amount of understanding of fractions and their division and multiplications. First of all we need to understand that fractions are basically rational in nature and are simple real numbers. So their division, multiplication, addition and subtraction are similar to that of real numbers. We assume the given fraction in this problem as a normal real number and we are also given another real number which we divide following the general rules of division.

Complete step by step answer:
Now we start off with the solution to the given problem by writing that,
Here the first real number is represented by, \[\dfrac{3}{5}\] . We can write this number in the decimal form by simply dividing the numerator by the denominator. We get it to be as \[0.6\] . Now the second given real number is \[2\] . We divide the first real number by the second real number and represent it mathematically as,
\[\dfrac{0.6}{2}\] . This fraction can further be represented in the decimal form by dividing the numerator with the denominator. We get it to be as,
\[0.3\]

Note: For problems of these types we need to have a clear cut idea of fractions and their divisibility rules along with their corresponding properties. Following the solution we will be able to solve any type of problems of this kind. We must be very careful while dividing the numerator and the denominator and we must be very specific with the number of decimal places of our final formed result.