Question

How to convert 2.433333333............... in p/q form?​

Answer 1

Step-by-step explanation:

• Let x = 2.43
• In 2.43, the number 4 on the right side of the decimal point is not recurring. So, in order to get only recurring digits on the right side of the decimal point, we will multiply 2.43 by 10.
• ∴ 10x = 24.3 …(i)
• ∴ 10x = 24.333…
• Here, digit 3 is the only recurring digit. Thus, by multiplying both sides by 10,
• 100x = 243.333…
• ∴ 100x = 243.3 …(ii)
• Subtracting (i) from (ii),
• 100x – 10x = 243.3 – 24.3
• ∴ 90x = 219
• X=219/90
• X=73/30

Answer 2

Answer:

Step-by-step explanation:

2.4333333......

TAKE 2.433

2.433=2.433

Let m=2.433333......

Then 10m=24.333333.......

Subtracting second from the first

9m=21.9

m=21.9/9=219/90=73/30