First, reduce 15/20 to its lowest term:
15/20 = 3/4
Now, reduce all the options to their lowest term:
a. 200 to 150 = 4/3
b. 3:5 = 3/5
c. 5/4 = 5/4
d. 45 to 60 = 3/4
Option d is the answer as 15/20 has the same value as 45 to 60
Answer:
The correct answer is option 4.
Step-by-step explanation:
We are given with ratio = [tex]\frac{15}{20}[/tex].
On further educing the given ratio we get = [tex]\frac{3}{4}[/tex]
Now we will compare our ratio with given four option s:
1) 200 to 150
[tex] =\frac{200}{150}=\frac{4}{3}[/tex]
[tex]\frac{3}{4}\neq \frac{4}{3}[/tex]
Not equivalent to given ratio.
2) 3 : 5
[tex]3:5 =\frac{3}{5}[/tex]
[tex]\frac{3}{4}\neq \frac{3}{5}[/tex]
Not equivalent to given ratio.
3)5/4
[tex] =\frac{5}{4}=\frac{5}{4}[/tex]
[tex]\frac{3}{4}\neq \frac{5}{4}[/tex]
Not equivalent to given ratio.
4) 45 to 60
[tex] =\frac{45}{60}=\frac{3}{3}[/tex]
[tex]\frac{3}{4}=\frac{3}{4}[/tex]
Equivalent to given ratio.
