Question

Please answer ASAP!! which of the following is closest to 0.25 and why?

A) 9/40 B)5/16 C) 9/32 D) 0.28 E) 15/64

Answer 1

Hey there!

“Which of the following is closest to
`0.25` and why?”

Options

A.
`(9)/(40)`

B.
`(5)/(16)`

C.
`(9)/(32)`

D.
`0.28`

E.
`(15)/(64)`

Process of elimination

Well,

Option A can’t be your answer because,
`(9)/(40)`equals
`0.225` in decimal form

Option B can’t be your answer because
`(5)/(16)` equals
`0.3125` in decimal form

Option C can’t be your answer because
`(9)/(32)` equals
`0.234375` in decimal form

Option D. Could be your answer because it’s a tad bit closer by a tad bit but let’s check for option E

Option E can but can’t be your because
`(15)/(64)` equals
`0.234375`

This leaves us with
`\boxed{OptionE. (15)/(64) }` as your result

Good luck on your assignment and enjoy your day

~LoveYourselfFirst:)

Answer 2

E) 15/64

Explanation:

To compare the numbers, it works best to express them all using a common denominator. One possibility is 1600, another is 1,000,000.

9/40 = 360/1600

5/16 = 500/1600

9/32 = 450/1600

0.28 = 448/1600

15/64 = 375/1600

The number we're comparing to is 0.25 = 400/1600, so we want to find the closest number to 400 in the set ...

... {360, 500, 450, 448, 375}.

The magnitude of the differences of these numbers from 400 is ...

... {40, 100, 50, 48, 25}.

Clearly, the last number, 15/64 = 375/1600 has the smallest difference from 0.25.