Question

without performing actual division check if 17/30 is a terminating decimal​

Answer 1

Step-by-step explanation:

Given number:- 17/30

Let us find the HCF of 17 and 30

here a= 30 and b= 17 so,

17 )30(1

17

______

13)17(1

13

_______

4)13(3

12

_________

1)4(4

4

___________

0

so the HCF is 1

By dividing the numerator and denominator of given number by HCF, we get

(17/1) / (30/1)

→ 17/30

Denominator 30 can be written as 2×3×5

17/2×3×5

the denominator contains 3 so, the number is non- terminating

HOPE THIS WILL HELP YOU. MADE IT WITH LOT OF EFFORT. PLEASE MARK IT BRAINLIEST