How to convert 142.74142577921 as a fraction

Question: What is 142.74142577921 as a fraction?


Answer: 142.74142577921 as a fraction is 8279/58


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How to convert 142.74142577921 as a fraction?

Solution:142.74142577921 as a fraction is 8279/58

Step 1:

The first step to converting 142.74142577921 to a fraction is to re-write 142.74142577921 in the form p/q where p and q are both positive integers. To start with, 142.74142577921 can be written as simply 142.74142577921/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 142.74142577921, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 142.74142577921/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 142.74142577921/1 each by 100000000000:

14274142577921/10 / 100000000000/10 = 14274142577921 / 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 142.74142577921 as a fraction:

8279/58 / 1

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