How to convert 407.904375 as a fraction

Question: What is 407.904375 as a fraction?


Answer: 407.904375 as a fraction is 8566/21


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How to convert 407.904375 as a fraction?

Solution:407.904375 as a fraction is 8566/21

Step 1:

The first step to converting 407.904375 to a fraction is to re-write 407.904375 in the form p/q where p and q are both positive integers. To start with, 407.904375 can be written as simply 407.904375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 407.904375, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 407.904375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 407.904375/1 each by 1000000:

407904375/10 / 1000000/10 = 407904375 / 1000000

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 407.904375 as a fraction:

8566/21 / 1

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