Answer
Verified
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Hint: Convert \[0.67\] by dividing the number by \[100\] into its fractional value, and then multiply the obtained term by \[100\] for converting it into percentage value.
Like, \[0.1\] when converted into fractional value gives \[\dfrac{1}{10}\] and for converting it into percentage value, we need to multiply by \[100\] hence, we will get, \[\dfrac{1}{100}\times 100=10\%\]
Apply this concept to simplify the question.
Complete step by step solution:
As per information given in the question,
As we have to convert \[0.67\] in percentage value,
First converting the decimal value in fractional value,
As we know that, when we convert any decimal value into fractional value, we need to divide the number by \[{{10}^{n}}\] where \[n\] is the number of digits after decimal.
Like in given number there are two digits after decimal,
So, we need to divide the number by \[{{10}^{2}}\] i.e. by \[100\].
Hence, converting the decimal number in fractional value,
We will get,
\[\Rightarrow 0.67=\dfrac{67}{100}\]
Now, for converting the fractional value in percentage value,
We need to multiply the fractional term by \[100\].
Hence, multiplying \[\dfrac{67}{100}\] by \[100\].
We will get,
\[\Rightarrow \dfrac{67}{100}\times 100=67\%\]
Thus, when \[0.67\] is converted in percentage value we will get \[67\%\].
Hence, we can convert any decimal in percentage value.
Note: Convert the given value by dividing it by \[100\] for converting it into fractional value.
Remember, we need to divide the number by \[100\] when a percentage value is converted into fractional value, and we need to multiply the number by \[100\] when we need to convert fractional value in terms of percentage value.
Like, \[0.1\] when converted into fractional value gives \[\dfrac{1}{10}\] and for converting it into percentage value, we need to multiply by \[100\] hence, we will get, \[\dfrac{1}{100}\times 100=10\%\]
Apply this concept to simplify the question.
Complete step by step solution:
As per information given in the question,
As we have to convert \[0.67\] in percentage value,
First converting the decimal value in fractional value,
As we know that, when we convert any decimal value into fractional value, we need to divide the number by \[{{10}^{n}}\] where \[n\] is the number of digits after decimal.
Like in given number there are two digits after decimal,
So, we need to divide the number by \[{{10}^{2}}\] i.e. by \[100\].
Hence, converting the decimal number in fractional value,
We will get,
\[\Rightarrow 0.67=\dfrac{67}{100}\]
Now, for converting the fractional value in percentage value,
We need to multiply the fractional term by \[100\].
Hence, multiplying \[\dfrac{67}{100}\] by \[100\].
We will get,
\[\Rightarrow \dfrac{67}{100}\times 100=67\%\]
Thus, when \[0.67\] is converted in percentage value we will get \[67\%\].
Hence, we can convert any decimal in percentage value.
Note: Convert the given value by dividing it by \[100\] for converting it into fractional value.
Remember, we need to divide the number by \[100\] when a percentage value is converted into fractional value, and we need to multiply the number by \[100\] when we need to convert fractional value in terms of percentage value.
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