Question

Find the missing number. a. 3 : 24 = ___ : 72 b. ___ : 18 = 5 : 9 c. 6: ___ = 36 : 36

Answer 1

dividing both the numerator and denominator

a. 3 : 24 = 9 : 72

multiply by 3

b. 10 : 18 = 5 : 9

divide by 2

c. 6 : 6 = 36 : 36

multiply by 6

Answer 2

a). 3 : 24 = 9 : 72

b). 10 : 18 = 5 : 9

c). 6 : 6 = 36 : 36

Explanation:

a). Let the missing number is x. By replacing blank space by x

3 : 24 = x : 24

We can rewrite the equation in the fraction form.

`(3)/(24)=(x)/(72)`

Now we multiply this equation by 72

`(3* 72)/(24)=(x* 72)/(72)`

x = 3 × 3 = 9

So the ratio is 3 : 24 = 9 : 72

b). Let the number in blank space is y.

y : 18 = 5 : 9

In the fraction form the given expression will be

`(y)/(18)=(5)/(9)`

Now we multiply 18 on both the sides of the equation

`(y* 18)/(18)=(5* 18)/(9)`

y = 5×2 = 10

So the ratio will be 10 : 18 = 5 : 9

c). Let the number in blank space is z

6 : z = 36 : 36

`(6)/(z)=(36)/(36)`

`(6)/(z)=1`

By cross multiplication

z = 6

Therefore, the ratio will be 6 : 6 = 36 : 36