Maths Homework help Due tommorow

Question

0

833

1

Rita says:

"I can tell from the denominators that 17/40 will convert into a terminating decimal but 17/70 will be recurring."

Explain how Rita can tell from the denominators, whether a fraction will convert into a terminating decimal or recurring decimal.

Guest Jan 20, 2019

asdf335 · Answer 1 · 2019-01-20T03:29:06

for it to be terminating, it must only have factors of 2 and 5 because 17 is prime.

therefore 17/40 or 17/(2^3*5) is terminating.

70 has a factor of 7, so it will be recurring

HOPE THIS HELPED!