How to convert 142.420740625 as a fraction

Question: What is 142.420740625 as a fraction?


Answer: 142.420740625 as a fraction is 23357/164


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How to convert 142.420740625 as a fraction?

Solution:142.420740625 as a fraction is 23357/164

Step 1:

The first step to converting 142.420740625 to a fraction is to re-write 142.420740625 in the form p/q where p and q are both positive integers. To start with, 142.420740625 can be written as simply 142.420740625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 142.420740625, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 142.420740625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 142.420740625/1 each by 1000000000:

142420740625/10 / 1000000000/10 = 142420740625 / 1000000000

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 142.420740625 as a fraction:

23357/164 / 1

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