Question

Which fraction has a terminating decimal as its decimal expansion?

1.one third
2.one fifth
3.one seventh
4.one ninth

Answer 1

1/5

Explanation:

Answer 2

'One third' as a decimal is 1 ÷ 3 = 0.333333..... ⇒ The decimal is recurring

'One fifth' as decimal is 1 ÷ 5 = 0.2 ⇒ The decimal terminates at the tenth value

'One seventh' as decimal 1 ÷ 7 = 0.142857142857.... ⇒ The decimal is recurring for every digit between 1 and 7

'One ninth' as decimal 1 ÷ 9 = 0.111111.... ⇒ The decimal is recurring

Answer: one fifth