Gujarat BoardEnglish MediumSTD 6MATHSFractions and Decimals1 Mark
Question
The decimal $23.2=23\frac{2}{5}$
✓
Answer
False. Solution: We know that, a decimal can be converted into a fraction by taking the numerator as the number obtained by removing the decimal point from the given decimal and taking the denominator as the number obtained by inserting as many zeroes with $1$ as there are number of place in the decimal part. Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by their $HCF$ and converting it to mixed fraction if required. $23.2=\frac{232}{10}=\frac{232 \div 2}{10 \div 2}=23 \frac{1}{5}$
$\begin{gathered}\because 5) 116(23 \\ \frac{10}{16} \\ \frac{15}{1}\end{gathered}$
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