
How do you write \[\dfrac{1}{{20}}\] in decimal form?
Answer
485.1k+ views
Hint: In the given question, we have been asked to convert a fraction into a decimal. If the fraction has a negative sign in front of it. For solving that, we simply divide the numerator by the denominator and after calculating the result, and if the fraction has a negative sign, just attach the negative sign in the front of the value.
Complete step by step solution:
We have to change \[\dfrac{1}{{20}}\] into decimal.
First, we divide the numerator \[\left( 1 \right)\] by the denominator \[\left( {20} \right)\].
\[20\mathop{\left){\vphantom{1\begin{array}{l}{\rm{ 1}}\\\dfrac{{{\rm{ - }}0}}{{{\rm{ 1}}00}}\\\dfrac{{{\rm{ - 100}}}}{{{\rm{ 0}}}}\end{array}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{\begin{array}{l}{\rm{ 1}}\\\dfrac{{{\rm{ - }}0}}{{{\rm{ 1}}00}}\\\dfrac{{{\rm{ - 100}}}}{{{\rm{ 0}}}}\end{array}}}}
\limits^{\displaystyle\,\,\, {0.05}}\]
So, \[\dfrac{1}{{20}} = 0.05\]
Note: For solving the fraction into decimal, we just divide the numerator by the denominator. But, if we have to calculate the reverse – convert a decimal to fraction, we first count the number of digits after the decimal point; let it be ‘c’. Then we take the complete number without the decimal point as the numerator and take the denominator equal to \[1\] followed by \[c\] zeroes.
So, for solving questions of such type, we first write what has been given to us. Then we write down what we have to find. Then we write the formula which connects the two things. When the numbers are divided, care must be taken as that is the point where the mistakes happen.
Complete step by step solution:
We have to change \[\dfrac{1}{{20}}\] into decimal.
First, we divide the numerator \[\left( 1 \right)\] by the denominator \[\left( {20} \right)\].
\[20\mathop{\left){\vphantom{1\begin{array}{l}{\rm{ 1}}\\\dfrac{{{\rm{ - }}0}}{{{\rm{ 1}}00}}\\\dfrac{{{\rm{ - 100}}}}{{{\rm{ 0}}}}\end{array}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{\begin{array}{l}{\rm{ 1}}\\\dfrac{{{\rm{ - }}0}}{{{\rm{ 1}}00}}\\\dfrac{{{\rm{ - 100}}}}{{{\rm{ 0}}}}\end{array}}}}
\limits^{\displaystyle\,\,\, {0.05}}\]
So, \[\dfrac{1}{{20}} = 0.05\]
Note: For solving the fraction into decimal, we just divide the numerator by the denominator. But, if we have to calculate the reverse – convert a decimal to fraction, we first count the number of digits after the decimal point; let it be ‘c’. Then we take the complete number without the decimal point as the numerator and take the denominator equal to \[1\] followed by \[c\] zeroes.
So, for solving questions of such type, we first write what has been given to us. Then we write down what we have to find. Then we write the formula which connects the two things. When the numbers are divided, care must be taken as that is the point where the mistakes happen.
Recently Updated Pages
Physics and Measurement Mock Test 2025 – Practice Questions & Answers

NCERT Solutions For Class 5 English Marigold - The Little Bully

NCERT Solutions For Class 12 Maths Three Dimensional Geometry Exercise 11.1

NCERT Solutions For Class 11 English Woven Words (Poem) - Ajamil And The Tigers

NCERT Solutions For Class 6 Hindi Durva - Bhaaloo

NCERT Solutions For Class 12 Physics In Hindi - Wave Optics

Trending doubts
Give 10 examples for herbs , shrubs , climbers , creepers

How many millions make a billion class 6 maths CBSE

How many seconds are there in an hour class 6 maths CBSE

Why is the Earth called a unique planet class 6 social science CBSE

What is the full form of AD a After death b Anno domini class 6 social science CBSE

What is a joint family A Two or more families live class 6 social science CBSE
