Which one of the following lies between 5-7 and 17-21-

For, 5/7 and 17/21 the denominators are different. The LCM of 7 and 21 is 21, so 5/7 becomes 15/21.Now, we have both the fracts as, 15/21 and 17/21. It is easy ...

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Standard VIII

Mathematics

Rational Numbers between Two Rational Numbers

Which one of ...

Question

Which one of the following lies between $\frac{5}{7}$ and $\frac{17}{21}$ ?

$\frac{15}{21}$

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$\frac{16}{21}$

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$\frac{8}{21}$

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$\frac{19}{21}$

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Solution

The correct option is B
$\frac{16}{21}$

For, $\frac{5}{7}$ and $\frac{17}{21}$ the denominators are different. The LCM of 7 and 21 is 21, so $\frac{5}{7}$ becomes $\frac{15}{21}$ .Now, we have both the fracts as, $\frac{15}{21}$ and $\frac{17}{21}$ . It is easy to locate the required fraction between these now. It is $\frac{16}{21}$ .

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(i) The rational number

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(ii) The rational number

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(iii) The rational number

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(iv) The rational numbers

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Which one of the following lies between 57 and 1721?

The correct option is B 1621 For, 57 and 1721 the denominators are different. The LCM of 7 and 21 is 21, so 57 becomes 1521.Now, we have both the fracts as, 1521 and 1721. It is easy to locate the required fraction between these now. It is 1621.

Which one of the following lies between $\frac{5}{7}$ and $\frac{17}{21}$ ?