How to convert 384.2175 as a fraction

Question: What is 384.2175 as a fraction?


Answer: 384.2175 as a fraction is 8837/23


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How to convert 384.2175 as a fraction?

Solution:384.2175 as a fraction is 8837/23

Step 1:

The first step to converting 384.2175 to a fraction is to re-write 384.2175 in the form p/q where p and q are both positive integers. To start with, 384.2175 can be written as simply 384.2175/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 384.2175, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 384.2175/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 384.2175/1 each by 10000:

3842175/10 / 10000/10 = 3842175 / 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 384.2175 as a fraction:

8837/23 / 1

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