How to convert 8.40234375 as a fraction

Question: What is 8.40234375 as a fraction?


Answer: 8.40234375 as a fraction is 2151/256


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How to convert 8.40234375 as a fraction?

Solution:8.40234375 as a fraction is 2151/256

Step 1:

The first step to converting 8.40234375 to a fraction is to re-write 8.40234375 in the form p/q where p and q are both positive integers. To start with, 8.40234375 can be written as simply 8.40234375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 8.40234375, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8.40234375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 8.40234375/1 each by 100000000:

840234375/10 / 100000000/10 = 840234375 / 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 8.40234375 as a fraction:

2151/256 / 1

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