Write the comment on the following rational numbers whether they are equal or greater or less than $\frac{19}{26}$ . The numbers are $\frac{247}{338}$ , $\frac{19}{21}$ and $\frac{26}{32}$ . [3 MARKS]

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Solution

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When we multiply by 13 in denominator and the numerator we get $\frac{247}{338}$ , therefore $\frac{19}{26}$ = $\frac{247}{338}$ .

By inspection, when numerator is same and denominator is different then the fraction having large value of denominator is smaller than the fraction having less value of denominator. Hence, $\frac{19}{26}$ < $\frac{19}{21}$ .

For comparing $\frac{19}{26}$ and $\frac{13}{16}$ we have to make the denominator of both the fraction by taking LCM of 26 and 16 = 416.
$\frac{(19 \times 16)}{(26 \times 16)} = \frac{304}{416}$ , $\frac{(13 \times 26)}{(16 \times 26)} = \frac{338}{416}$
338>304. Hence, $\frac{26}{32}$ > $\frac{19}{26}$ .

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Write the comment on the following rational numbers whether they are equal or greater or less than 1926. The numbers are 247338, 1921 and 2632. [3 MARKS]

Write the comment on the following rational numbers whether they are equal or greater or less than $\frac{19}{26}$ . The numbers are $\frac{247}{338}$ , $\frac{19}{21}$ and $\frac{26}{32}$ . [3 MARKS]