Question

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

Answer 1

Answer:

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

Answer:

a). 3 : 24 = 9 : 72

b). 10 : 18 = 5 : 9

c). 6 : 6 = 36 : 36

Step-by-step 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.

$\frac{3}{24}=\frac{x}{72}$

Now we multiply this equation by 72

$\frac{3\times 72}{24}=\frac{x\times 72}{72}$

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

$\frac{y}{18}=\frac{5}{9}$

Now we multiply 18 on both the sides of the equation

$\frac{y\times 18}{18}=\frac{5\times 18}{9}$

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

$\frac{6}{z}=\frac{36}{36}$

$\frac{6}{z}=1$

By cross multiplication

z = 6

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