Question

fill in the boxes
I)5/4=_/16=25/_=-15/_
ii)-3/7=_/14=9/_=6/_​

Answer 1

Answer:

I) 20, 20, - 12

ii)-6, - 21, 14

Answer 2

The answers are as follows; (i) 5/4 = 20/16 = 25/20 = -15/-12

(ii) -3/7 = -6/14 = 9/-21 = 6/-14

GIVEN

Factions,(i) 5/4 = _/16 = 25/_ = -15/_

(ii) -3/7 = _/14 = 9/_ = 6/_

TO FIND

To fill the boxes with appropriate numbers

SOLUTION

We can simply solve the above problem as follows;

We know that equal proportions are ratios that are equal in its proportion.

Now, We have to find the missing numbers in the given equal ratios

(i) 5/4 = _/16 = 25/_ = -15/_

Let the missing numbers be, x, y, and z

Rewritting the expression

5/4 = x/16 = 25/y = -15/z

Cross multiplying the first pair

5× 16 = 4x

x = 20

Cross multiplying the second pair

20/16 = 25/y

20y = 16 × 25

y = 20

Cross multiplying the third pair

25/20 = -15/z

25z = 20 × -15

z = -12

Hence, The answer is;

5/4 = 20/16 = 25/20 = -15/-12

Similarly,

(i) -3/7 = _/14 = 9/_ = 6/_

Let the missing numbers be x, y, and z.

-3/7 = x/14 = 9/y = 6/z

-3/7 = x/14

7x = -3×14

x = -6

Similarly,

-6/14 = 9/y

-6y = 14 × 9

y = -21

.Similarly,

9/-21 = 6/z

9z = 6 × -21

z = -14

Hence, The answer is

-3/7 = -6/14 = 9/-21 = 6/-14

Hence, The answers are as follows;

(i) 5/4 = 20/16 = 25/20 = -15/-12

(ii) -3/7 = -6/14 = 9/-21 = 6/-14

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