Question

Fill in the blanks:-
$1)\frac{5}{4} = \frac{...}{16} = \frac{25}{...} = \frac{ - 15}{...}$
$2) \frac{ - 3}{7} = \frac{...}{14} = \frac{9}{...} = \frac{ - 6}{...}$



Please give me the correct answer.
Then, I will mark it as brainiest.

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Answer 1

Step-by-step explanation:

I am not able to on my vidio because I have network broblem

Answer 2

GivEn:

• 5/4 = x/16 = 25/x = -15/x
• -3/7 = x/14 = 9/x = -6/x

To find:

• We need to find x in the given question.

Solution:

• Let every unknown numerator/denominator be x.

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« Now, Finding the unknown numerator/denominator,

→ 5/4 = x/16

→ 4x = 16 × 5

→ 4x = 80

→ x = 20

Verification:

→ 5/4 = x/16

→ 20/16 = 5/4

« By cancelling 20/16, We get,

→ 5/4 = 5/4

_

→ 5/4 = 25/x

→ 5x = 25 × 4

→ 5x = 100

→ x = 20

Verification:

→ 5/4 = 25/x

→ 25/20 = 5/4

« By cancelling, We get,

→ 5/4 = 5/4

_

→ 5/4 = -15/x

→ 5x = -15 × 4

→ 5x = -60

→ x = -12

Verification:

→ 5/4 = -15/x

→ -15/-12 = 5/x

« By cancelling, We get,

→ 5/4 = 5/4

∴ Hence, 5/4 = 20/16 = 25/20 = -15/-12

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« Now, Finding the unknown numerator/denominator of second question,

→ -3/7 = x/14

→ 7x = -42

→ x = -6

Verification:

→ -3/7 = x/14

→ -6/14 = -3/7

« By cancelling, We get,

→ -3/7 = -3/7

_

→ -3/7 = 9/x

→ -3x = 7 × 9

→ -3x = 63

→ x = -21

Verification:

→ -3/7 = 9/x

→ 9/-21 = -3/7

« By cancelling, We get,

→ -3/7 = -3/7

_

→ -3/7 = -6/x

→ -3x = -42

→ x = -42/-3

→ x = 14

Verification:

→ -3/7 = -6/x

→ -6/14 = -3/7

« By cancelling, We get,

→ -3/7 = -3/7

∴ Hence, -3/7 = -6/14 = 9/-21 = -6/14