Verified answer

Answer:

i) We have to compare ratios, So we try to make the denominators of both the fractions equal:

i.e 3:4 or 9:16

We can 3: 4 as

[tex] \dfrac{3}{4} [/tex]

Now, multiplying both numerator and denominator by 4

we get,

[tex] \dfrac{3 \times 4}{4 \times 4} [/tex]

[tex] = \dfrac{12}{16} [/tex]

So, now we have two fractions

[tex] \dfrac{12}{16} \: and \: \dfrac{9}{16} [/tex]

[tex] \dfrac{12}{16} \: is \: greater[/tex]

Hence 3: 4 is larger than 9: 16

ii) (5:12) or (17:30)

Making the denominator equal:

[tex] \dfrac{5 \times 5}{12 \times 5} = \dfrac{25}{60} [/tex]

[tex] \dfrac{17 \times 2}{30 \times 2} = \dfrac{34}{60} [/tex]

[tex] \dfrac{34}{60} \: is \: greater[/tex]

(5:12) < (17:30)

iii)Given Ratios are:

1:2 and 13:27.

Writing them as fractions, we get:

[tex] \dfrac{1}{2} \: and \: \dfrac{13}{37} [/tex]

Converting them to fractions with same denominators:

[tex] \dfrac{1 \times 27}{2 \times 27} \: and \: \dfrac{13 \times 2}{27 \times 2} [/tex]

[tex] = \dfrac{27}{54} \: and \: \dfrac{26}{54} [/tex]

It can be observed that 27 > 26

Hence 12 is larger than 13: 27

Step-by-step explanation:

hope it helps u

THE ANSWER IS GIVEN UP WITH EXPLAINTION