Question

How do you write $1/6$ as a decimal?

Answer 1

Hint:
To convert a fraction to the decimal divide the numerator by the denominator. In other words, the fraction is the ratio between numerator and denominator.

Complete step by step solution:
The objective of the problem is to write a given fraction as a decimal.
About the fraction : A fraction is the part of a whole number. A fraction has two parts; they are numerator and denominator. A numerator is one which is above the line and denominator is one which is below the line and the line indicates division. There are three types of functions. They are proper fractions, improper fractions and the mixed fractions.
The given fraction $1/6$ is a proper fraction as the numerator is less than the denominator.
About the decimal : A decimal number is a number where a number is followed by a dot point followed by a one or more numbers. The number before the dot is called the integral part and the number after the dot is called the fractional part.
Now , to convert fraction number into decimal number simply divide the numerator by the denominator. Use the basic division processor to solve this.
Converting $1/6$ as a decimal.
\[\begin{gathered}
  6\mathop{\left){\vphantom{1{10}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{10}}}}
\limits^{\displaystyle \,\,\, {0.66}} \\
  \,\,\,\,\,\,\,\underline {\,\,\,\,\,6\,\,\,\,} \\
  \,\,\,\,\,\,\,\,\,\,\,\,\,40\, \\
  \,\,\,\,\,\,\,\,\,\,\,\underline {\,\,36\,\,\,} \\
  \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,40 \\
  \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline {36} \\
  \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,40\, \\
  \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline {36} \,\, \\
  \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,4 \\
\end{gathered} \]
In above we take zero beside 1 because we take zero in the quotient so we put zero beside the one.

Therefore , the decimal number of fraction $1/6$ is 0.6666.

Note:
A fraction is said to be a proper fraction if the numerator is less than the denominator.
A fraction is said to be an improper fraction if the numerator is greater than or equal to the denominator. And a fraction is said to be mixed fraction if a whole number and the proper fractions are side by side.