Question
Write the following as rational numbers in their standard forms.
$35\%$
$35\%$
✓
Answer
Given, $35\%=\frac{35}{100}$
$\begin{array}{c|c} 7 & 35 \\ \hline 5 & 5\\ \hline&1 \end{array}$
$\begin{array}{c|c} 2 & 100 \\ \hline 2 & 50\\ \hline5&25 \\ \hline5&5 \end{array}$
By using prime factorisation, we get
$35 = 7 \times 5$ and $100 = 2 \times 2 \times 5 \times 5$
$\therefore HCF$ of $35$ and $100 = 5$
On dividing numerator and denominator by their $HCF,$ we get
$\frac{35+\div5}{100\div5}=\frac{2}{-7}$
$\begin{array}{c|c} 7 & 35 \\ \hline 5 & 5\\ \hline&1 \end{array}$
$\begin{array}{c|c} 2 & 100 \\ \hline 2 & 50\\ \hline5&25 \\ \hline5&5 \end{array}$
By using prime factorisation, we get
$35 = 7 \times 5$ and $100 = 2 \times 2 \times 5 \times 5$
$\therefore HCF$ of $35$ and $100 = 5$
On dividing numerator and denominator by their $HCF,$ we get
$\frac{35+\div5}{100\div5}=\frac{2}{-7}$
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