Question

Which choices are equivalent to the fraction below check all the apply ""24" over 30

A 3/4
B4/5
C 3/5
D8/10
E 14/20
F 7/10

Answer 1

c) The reduced form of the given fraction
`(24)/(30) =  (4)/(5)`

Explanation:

Here, the given expression is "24 over 30".

The given expression is is equivalent to
`(24)/(30)`

Now by Prime Factorization:

24 = 2 x 2 x 2 x 3

30 = 2 x 3 x 5

⇒ The common factors in 24 and 30 is 2 x 3 = 6

So,
`(24)/(30)  = (2 * 2 * 2 * 2 * 3)/(2 * 3 * 5)   = (6 * 4)/(6 * 5)   = (4)/(5)`

Hence the reduced form of the given fraction
`(24)/(30) =  (4)/(5)`