Question

compare 13/17 ... 21/27​

Answer 1

Answer:

13/17 < 21/27

Step-by-step explanation:

LCM of the denominators 17 and 27 is 459

13/17 = (13×27)/(17×27) = 351/459

21/27 = (21×17)/(27×17) = 357/459

Now,

Compare the no.s based on numerators,

351/459 < 357/459

Thus,

13/17 < 21/27

Answer 2

Step-by-step explanation:

LCM of 17 and 27 is 459.

$\sf \dfrac{13 \times 27}{17 \times 27} = \dfrac{351}{459}$

$\sf \dfrac{21 \times 17}{27 \times 17} = \dfrac{357}{459}$

$\sf \dfrac{351}{459} < \dfrac{357}{459}$

$\sf \dfrac{13}{17} < \dfrac{21}{27}$

21/27 is greater than 13/17

hope it helps.

You can convert the fractions into decimals as well to compare.