High School

Which ratio is equivalent to \(\frac{5}{4}\)?

A. \(\frac{30}{24}\)
B. \(\frac{30}{20}\)
C. \(\frac{24}{30}\)
D. \(\frac{20}{30}\)

Answer :

Answer:

a) 30/24

Step-by-step explanation:

To work this out, we must simplify all the other fraction to see which one leaves us with 5/4. Hence:

a) 30/24

= 5/4 ← dividing both numbers by the highest common factor, 6

b) 30/20

= 3/2 ← dividing both numbers by the highest common factor, 10

c) 24/30

= 4/5 ← dividing both numbers by the highest common factor, 6

d) 20/30

= 2/3 ← dividing both numbers by the highest common factor, 10

Hence, we can see that a) is the correct answer, as when simplified it equates to 5/4, same as the original ratio. Hope that helps!

Answer:

ratio is equivalent to 5/4 is 30/24

Step-by-step explanation: