Question

Select all of the ratios that are equivalent to 4 to 7.

5/8
12/10
8.14
5 to 10
16/28
9 to 16​

Answer 1

`(16)/(28)`

Explanation:

Question asked:

Select all of the ratios that are equivalent to 4 to 7.

1) 5/8

2) 12/10

3) 8.14

4) 5 to 10

5) 16/28

6) 9 to 16​

Solution:

To know the ratios are equivalent to
`(4)/(7)` or not, we have to check each by cross multiplication:-

1)
`(5)/(8)`

`(4)/(7) =(5)/(8) \\ \\`

By cross multiplication:

`4*8=5*7\\ \\ 32=35`

Not equivalent.

2)
`(12)/(10)`

`(4)/(7) =(12)/(10) \\ \\`

By cross multiplication:

`4*10=12*7\\ \\ 40=84`

Not equivalent.

3) 8.14 =
`(814)/(100) \ eliminating\ decimal`

`(4)/(7) =(814)/(100) \\ \\`

By cross multiplication:

`4*100=814*7\\ \\ 400=5698`

Not equivalent.

4)
`(5)/(10)`

`(4)/(7) =(5)/(10) \\ \\`

By cross multiplication:

`4*10=5*7\\ \\ 40=35`

Not equivalent.

5)
`(16)/(28)`

`(4)/(7) =(16)/(28) \\ \\`

By cross multiplication:

`4*28=16*7\\ \\ 112=112`

Yes, this is equivalent.

6)
`(9)/(16)`

`(4)/(7) =(9)/(16) \\ \\`

By cross multiplication:

`4*16=9*7\\ \\ 64=63`

Not equivalent.

Thus, only
`(16)/(28)` is equivalent.