How to convert 856.4875 as a fraction

Question: What is 856.4875 as a fraction?


Answer: 856.4875 as a fraction is 33403/39


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How to convert 856.4875 as a fraction?

Solution:856.4875 as a fraction is 33403/39

Step 1:

The first step to converting 856.4875 to a fraction is to re-write 856.4875 in the form p/q where p and q are both positive integers. To start with, 856.4875 can be written as simply 856.4875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 856.4875, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 856.4875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 856.4875/1 each by 10000:

8564875/10 / 10000/10 = 8564875 / 10000

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 856.4875 as a fraction:

33403/39 / 1

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