Question

How do you convert \[23\% \] to a fraction and then to a decimal?

Answer 1

Hint: To convert \[23\% \] to fraction and then into decimal.
To convert a fraction into a percentage multiply the fraction by 100 and to convert percentages into a fraction divide it by 100. To convert a fraction into decimal we apply normal division but to make the remainder zero we apply decimal. A decimal basically gets placed in quotients and it adds two zeros in the divider.

Complete step by step solution:
\[\begin{array}{l}
To\,{\rm{ }}\,convert\,{\rm{ }}\,23\% {\rm{ }}{\mathop{\rm \,into}} {\rm{ }}\,fraction\,,divide\,{\rm{ }}23{\rm{}}\,by\,{\rm{ }}100\\
23\% = \dfrac{{23}}{{100}}
\end{array}\]
Using this we can convert any fraction into percentage and any percentage into fraction
Now, to convert \[23\% \] into decimal, divide \[23{\rm{ }}\,by\,{\rm{ }}100\] and apply normal decimal division method

\[\begin{array}{l}
 \Rightarrow 23\% = \dfrac{{23}}{{100}} = 0.23\\
\end{array}\]

Note: We must take values up to two decimals, that is after decimals at least two values should be present to get an accurate result. Many times a non-terminating decimal appears so to remove that we can round it also or to avoid a large decimal number we can round off up to two decimal digits. For converting a fraction into a percentage we should convert the fraction firstly into its simplest form and then we can convert it easily. We can also convert a decimal directly into a percentage after multiplying it with 100 and we can write it in % form.