Question

Which of the Question 1: a) Without actual division, find folowing fractions are terminating decimals:
(1)723/64

(2)4/75​

Answer 1

Step-by-step explanation:

you have to prime factories the denominator. I will solve one for you.

$\: \: \: \: \: \:2 | 64 \\ \: \: \: \: \: \: 2| 32 \\ \: \: \: \: \: \: 2| 16 \\ \: \: \: \: 2 | 8 \\ \: \: \: 2| 4 \\ \: \: \: 2 | 2 \\ \: \: \: \: \: \: | 1</p><p>$

therefore as the prime factors are out of 2 the fraction 723/64 is terminating.

( if the prime factors are only out of 2 and 5 the fraction is termination if any other number is there the fraction is non terminating)

I hope you understood?