Question

Write in decimal form: \[\dfrac{3}{5}\]
A) 0.6
B) 0.5
C) 0.61
D) None

Answer 1

Hint: Here in this question, we have to convert the given number into decimal form. The given number is in the form of fraction, to convert the fraction number to the decimal we divide the given number by the number which is in the denominator by using a division operation we get the required solution.

Complete step by step solution:
The given number is in the form of a fraction. It contains the numerator and as well as the denominator. To convert the fraction into the decimal number we divide the numerator by denominator.
Fractions and decimal numbers are simply two different ways of representing numbers that are less than one. There are specific mathematical equations that allow you to figure out what the equivalent of a fraction would be in decimal form, and vice versa.
Consider the given question
\[ \Rightarrow \,\,\,\dfrac{3}{5}\]
Here we have to divide 3 by 5. If the division doesn’t come out evenly, round the decimal off.
\[ \Rightarrow \,\,\,5\left){\vphantom{13}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{3}}\]
5 doesn’t divide 3 evenly. Let round of the 3 by taking a decimal, then
\[ \Rightarrow \,\,\,5\mathop{\left){\vphantom{1{30}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{30}}}}
\limits^{\displaystyle \,\,\, {0.}}\]
As we know the 30 is the multiple of 5, then
\[ \Rightarrow \,\,\,5\mathop{\left){\vphantom{1
  30 \\
  \underline {30} \\
  \,\,0 \\
 }}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{
  30 \\
  \underline {30} \\
  \,\,0 \\
 }}}
\limits^{\displaystyle \,\,\, {0.6}}\]
Hence, we have converted the fraction into decimal and obtained the answer
So, the decimal form of \[\dfrac{3}{5}\] is 0.6.
Therefore, option (A) is correct.

Note:
The number can be converted from one form to the other form. For the conversion of
number, we have some rules or methods. By using the specific methods and rules we can convert the number. So to convert the decimal number we have multiplied and divided the number by multiples of 10. The multiple of 10 depends on the number are present after the decimal point.