The ascending arrangement of 2-3- 6-7- 13-21 is

Here, L.C.M. of the denominators (3, 7 and 21) nbsp;is 21. (i) 2/3 nbsp;=2×7/3×7= 14/21 nbsp; (ii) 6/7 nbsp;= nbsp;6×3/7×3= 18/21 (iii) 13/21 need ...

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Standard VI

Mathematics

Ascending Order and Descending Order

The ascending...

Question

$The ascending arrangement of \frac{2}{3}, \frac{6}{7}, \frac{13}{21} is$

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Solution

Here, L.C.M. of the denominators (3, 7 and 21) is 21.

(i) $\frac{2}{3} = \frac{2 \times 7}{3 \times 7} = \frac{14}{21}$

(ii) $\frac{6}{7} = \frac{6 \times 3}{7 \times 3} = \frac{18}{21}$

(iii) $\frac{13}{21}$ need not be changed as the denominator is same as L.C.M.

Clearly,
$\frac{13}{21} < \frac{14}{21} < \frac{18}{21}$

So, the ascending order of the given fractions is,
$\frac{13}{21} < \frac{2}{3} < \frac{6}{7}$

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The ascending arrangement of 23,67,1321 is

Here, L.C.M. of the denominators (3, 7 and 21) is 21. (i) 23=2×73×7=1421 (ii) 67=6×37×3=1821 (iii) 1321 need not be changed as the denominator is same as L.C.M. Clearly, 1321<1421<1821 So, the ascending order of the given fractions is, 1321<23<67

$The ascending arrangement of \frac{2}{3}, \frac{6}{7}, \frac{13}{21} is$