How to convert 853.4971875 as a fraction

Question: What is 853.4971875 as a fraction?


Answer: 853.4971875 as a fraction is 151069/177


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How to convert 853.4971875 as a fraction?

Solution:853.4971875 as a fraction is 151069/177

Step 1:

The first step to converting 853.4971875 to a fraction is to re-write 853.4971875 in the form p/q where p and q are both positive integers. To start with, 853.4971875 can be written as simply 853.4971875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 853.4971875, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 853.4971875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 853.4971875/1 each by 10000000:

8534971875/10 / 10000000/10 = 8534971875 / 10000000

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 853.4971875 as a fraction:

151069/177 / 1

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