Which ratio is greater $11 : 21 o r 19 : 28$ ?

Open in App

Solution

Comparing ratios:
We can write $11 : 21 o r 19 : 28$ as $\frac{11}{21} o r \frac{19}{28}$
We will have to equalise the denominators and then multiply by LCM of the denominators
Firstly, taking LCM of the denominators $21 a n d 28$
By prime factorisation method:
$21 = 3 \times 7 \times 1$
$28 = 2^{2} \times 7 \times 1$
$L C M (21, 28) = 2^{2} \times 3 \times 7 \times 1 = 84$
Now, multiplying the LCM in both terms:
$\frac{11}{21} \times 84 a n d \frac{19}{28} \times 84$
$11 \times 4 a n d 19 \times 3$
$44 a n d 57$
Since, $44 < 57$
Therefore, $\frac{11}{21} < \frac{19}{28}$ or $11 : 21 < 19 : 28$
Hence, $19 : 28$ is the greater ratio.

Suggest Corrections

Similar questions

Fill up the blank in the following statement using $' <'$ , $' >'$ or $' ='$ :

$11 : 19$ _____ $19 : 21$

Which ratio is greater: $7 ˸ 9$ and $2 ˸ 11$

11 : 21

19 : 28

(\sqrt{7} + \sqrt{10})

(\sqrt{3} + \sqrt{19})

Which of the two rational numbers is greater in each of the following pairs ?

$\frac{17}{- 21}, \frac{- 19}{21}$

Join BYJU'S Learning Program