How to convert 0.16406 as a fraction

Question: What is 0.16406 as a fraction?


Answer: 0.16406 as a fraction is 493/3005


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How to convert 0.16406 as a fraction?

Solution:0.16406 as a fraction is 493/3005

Step 1:

The first step to converting 0.16406 to a fraction is to re-write 0.16406 in the form p/q where p and q are both positive integers. To start with, 0.16406 can be written as simply 0.16406/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.16406, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.16406/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.16406/1 each by 100000:

016406/10 / 100000/10 = 016406 / 100000

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 0.16406 as a fraction:

493/3005 / 1

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