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.
[tex]\frac{3}{24}=\frac{x}{72}[/tex]
Now we multiply this equation by 72
[tex]\frac{3\times 72}{24}=\frac{x\times 72}{72}[/tex]
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
[tex]\frac{y}{18}=\frac{5}{9}[/tex]
Now we multiply 18 on both the sides of the equation
[tex]\frac{y\times 18}{18}=\frac{5\times 18}{9}[/tex]
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
[tex]\frac{6}{z}=\frac{36}{36}[/tex]
[tex]\frac{6}{z}=1[/tex]
By cross multiplication
z = 6
Therefore, the ratio will be 6 : 6 = 36 : 36
