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Rational Numbers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSRational Numbers2 Marks
Question
Write the following as rational numbers in their standard forms. $115 ÷ 207$
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Answer

Given, $115 ÷ 207$
$=\frac{115}{207}$
$\begin{array}{c|c} 5 & 1158 \\ \hline 23 & 23\\ \hline&1 \end{array}$
$\begin{array}{c|c} 3 & 207 \\ \hline 3 & 69\\ \hline23&23 \\ \hline&1 \end{array}$
​​​​​​​By using prime factorisation, we get, $115 = 5 \times 23$ and $207 = 3 \times 23 \times 3$
$\therefore HCF$ of $115$ and $207 = 23$
On dividing numerator and denominator by their
$HCF,$ we get $\frac{115\div23}{207\div23}=\frac{5}{9}$

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