Question

Express 32.1235 (bar on 35) in the form m n , where m and n are integers and n≠0 ?​

Answer 1

Answer:

318023/9900

Step-by-step explanation:

Hey, I have a shortcut if these type of questions appear for 1 mark.

Follow the Guide Below.

Step 1: - Write all the numbers irrespective of their decimals and bars. We have, 321235.

Step 2: - Subtract the above number with the numbers that do not have bars. In this case, subtract 3212 from 321235. We obtain the answer as 318023.

Step 3: - Find the count of numbers which have bars and don't have bars after the decimal point. In this case, we have 2 numbers with no bars and 2 with bar.

Step 4: - Consider the numbers which have bars to be 0 and 9 for the numbers which do not have bars. In this case, we obtain 9900.

Step 5: - Divide the number obtained in Step 2 by the number obtained in Step 4. Thus we obtain the number 318023/9900

If the question isn't for 1 mark, then you may follow this method.

Let $x = 32.12353535$ -- 1

∴ $100x = 3212.3535$ -- 2

Subtract 1 from 2,

$100x - x = 3212.3535 - 32.1235$

$99x = 3180.23$

$x = 3180.23/99$

$x = 318023/9900$