How to convert 155.2223828125 as a fraction

Question: What is 155.2223828125 as a fraction?


Answer: 155.2223828125 as a fraction is 106793/688


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How to convert 155.2223828125 as a fraction?

Solution:155.2223828125 as a fraction is 106793/688

Step 1:

The first step to converting 155.2223828125 to a fraction is to re-write 155.2223828125 in the form p/q where p and q are both positive integers. To start with, 155.2223828125 can be written as simply 155.2223828125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 155.2223828125, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 155.2223828125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 155.2223828125/1 each by 10000000000:

1552223828125/10 / 10000000000/10 = 1552223828125 / 10000000000

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 155.2223828125 as a fraction:

106793/688 / 1

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