Which is the larger fraction-17-102 or 12-102

Consider17/102 ? 12/1020ex0ex17× 102 ? 12× 1020ex0ex1734 ? 12240ex0ex1734 > 1224Since 1734 is greater than 122417/102 > 12/102Hence, 17/102 is greater than 12/1 ...

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Standard XI

Mathematics

Logarithmic Inequalities

Which is the ...

Question

Which is the larger fraction?
$\frac{17}{102} o r \frac{12}{102}$

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Solution

Consider
$\frac{17}{102} ? \frac{12}{102} 17 \times 102 ? 12 \times 102 1734 ? 1224 1734 > 1224$
Since $1734$ is greater than $1224$
$\frac{17}{102} > \frac{12}{102}$
Hence, $\frac{17}{102}$ is greater than $\frac{12}{102}$

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Which is the larger fraction?17102or12102

Consider17102?1210217×102?12×1021734?12241734>1224Since 1734 is greater than 122417102>12102Hence, 17102 is greater than 12102

Which is the larger fraction?
$\frac{17}{102} o r \frac{12}{102}$

Consider
$\frac{17}{102} ? \frac{12}{102} 17 \times 102 ? 12 \times 102 1734 ? 1224 1734 > 1224$
Since $1734$ is greater than $1224$
$\frac{17}{102} > \frac{12}{102}$
Hence, $\frac{17}{102}$ is greater than $\frac{12}{102}$