How to convert 1.58420795 as a fraction

Question: What is 1.58420795 as a fraction?


Answer: 1.58420795 as a fraction is 3170/2001


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How to convert 1.58420795 as a fraction?

Solution:1.58420795 as a fraction is 3170/2001

Step 1:

The first step to converting 1.58420795 to a fraction is to re-write 1.58420795 in the form p/q where p and q are both positive integers. To start with, 1.58420795 can be written as simply 1.58420795/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1.58420795, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.58420795/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1.58420795/1 each by 100000000:

158420795/10 / 100000000/10 = 158420795 / 100000000

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 1.58420795 as a fraction:

3170/2001 / 1

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