How to convert 145.26343749848 as a fraction

Question: What is 145.26343749848 as a fraction?


Answer: 145.26343749848 as a fraction is 27019/186


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How to convert 145.26343749848 as a fraction?

Solution:145.26343749848 as a fraction is 27019/186

Step 1:

The first step to converting 145.26343749848 to a fraction is to re-write 145.26343749848 in the form p/q where p and q are both positive integers. To start with, 145.26343749848 can be written as simply 145.26343749848/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 145.26343749848, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 145.26343749848/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 145.26343749848/1 each by 100000000000:

14526343749848/10 / 100000000000/10 = 14526343749848 / 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 145.26343749848 as a fraction:

27019/186 / 1

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