How to convert 242.53140625004 as a fraction

Question: What is 242.53140625004 as a fraction?


Answer: 242.53140625004 as a fraction is 7761/32


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How to convert 242.53140625004 as a fraction?

Solution:242.53140625004 as a fraction is 7761/32

Step 1:

The first step to converting 242.53140625004 to a fraction is to re-write 242.53140625004 in the form p/q where p and q are both positive integers. To start with, 242.53140625004 can be written as simply 242.53140625004/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 242.53140625004, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 242.53140625004/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 242.53140625004/1 each by 100000000000:

24253140625004/10 / 100000000000/10 = 24253140625004 / 100000000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 242.53140625004 as a fraction:

7761/32 / 1

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