Is 5/16 Equal To 1/4

Notice answers to the following. Write and indicate how you solved them.
(a) Is $ \frac{5}{9} $ equal to $ \frac{iv}{5} $ ?
(b) Is $ \frac{9}{xvi} $ equal to $ \frac{5}{ix} $ ?
(c) Is $ \frac{4}{v} $ equal to $ \frac{xvi}{xx} $ ?
(d) Is $ \frac{ane}{15} $ equal to $ \frac{4}{30} $ ?

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To do:

Nosotros have to find whether the given statements are truthful.

Solution:

(a) To cheque whether \( \frac{5}{9} \) is equal to \( \frac{4}{v} \), we accept to convert them to like fractions.

LCM of denominators 9 and 5 is 45.

This implies,

$\frac{5}{nine}\times\frac{5}{5}=\frac{25}{45}$

$\frac{four}{5}\times\frac{9}{9}=\frac{36}{45}$

$25 ≠ 36$

This implies,

$\frac{36}{45} ≠ \frac{25}{45}$

Therefore,\( \frac{5}{9} \) is not equal to \( \frac{4}{5} \).

(b) To bank check whether \( \frac{9}{sixteen} \) is equal to \( \frac{5}{nine} \), we have to catechumen them to like fractions.

LCM of denominators sixteen and 9 is 144.

This implies,

$\frac{ix}{16}\times\frac{9}{nine}=\frac{81}{144}$

$\frac{two}{ix}\times\frac{16}{16}=\frac{32}{144}$

$81 ≠ 32$

This implies,

$\frac{81}{144} ≠ \frac{32}{144}$

Therefore,\( \frac{9}{16} \) is not equal to \( \frac{v}{9} \).

(c) To check whether \( \frac{4}{v} \) is equal to \( \frac{16}{20} \), nosotros have to catechumen them to like fractions.

LCM of denominators 5 and 20 is 20.

This implies,

$\frac{16}{20}=\frac{4\times4}{four\times5}$

$=\frac{4}{5}$

Here,

Numerators are same ($4 = four$)

Therefore,\( \frac{4}{v} \) is equal to \( \frac{xvi}{20} \).

(d) To check whether \( \frac{1}{15} \) is equal to \( \frac{four}{thirty} \), we take to catechumen them to like fractions.

LCM of denominators 15 and 30 is 30.

This implies,

$\frac{4}{30}=\frac{2\times2}{ii\times15}$

$=\frac{2}{15}$

Here,

$2 > ane$

This implies,

$\frac{2}{15}>\frac{one}{fifteen}$

Therefore,\( \frac{1}{15} \) is non equal to \( \frac{4}{30} \).

Updated on ten-Oct-2022 13:33:00

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Is 5/16 Equal To 1/4,

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