Answer 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

E) 15/64

Step-by-step 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.

Hey there!

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

Options

A.

B.

C.

D.

E.

Process of elimination

Well,

Option A can’t be your answer because, equals in decimal form

Option B  can’t be your answer because equals in decimal form

Option C can’t be your answer because  equals 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 equals

This leaves us with   as your result

Good luck on your assignment and enjoy your day

~LoveYourselfFirst:)