Question

Which fraction converts to a terminating decimal number?

a.) 1/6
b.) 2/9
c.) 3/8
d.) 4/7

Answer 1

terminating decimal...a decimal that ends
1/6 = 1.66 (with a line over the 66 because it does not end)
2/9 = 0.22 (with a line over the 22 because it does not end)
3/8 = 0.375
4/7 = 0.571428 (with a line over 571428 because it does not end)

so ur answer is : 3/8

Answer 2

Answer: The correct option is (C)
`(3)/(8).`

Step-by-step explanation: We are given to select the fraction that converts to a terminating decimal number.

(a) The first fraction is
`(1)/(6).`

We have

`(1)/(6)=0.16666...`

Since this decimal is non-terminating, so this option is NOT correct.

(b) The second fraction is
`(2)/(9).`

We have

`(2)/(9)=0.2222...`

Since this fraction is non-terminating, so this option is NOT correct.

(c) The second fraction is
`(3)/(8).`

We have

`(2)/(9)=0.375.`

Since this fraction is terminating, so this option is CORRECT.

(d) The second fraction is
`(4)/(7).`

We have

`(4)/(7)=0.5714...`

Since this fraction is non-terminating, so this option is NOT correct.

Thus, option (C) is CORRECT.