How to convert 8.7168820190345 as a fraction

Question: What is 8.7168820190345 as a fraction?


Answer: 8.7168820190345 as a fraction is 3356/385


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How to convert 8.7168820190345 as a fraction?

Solution:8.7168820190345 as a fraction is 3356/385

Step 1:

The first step to converting 8.7168820190345 to a fraction is to re-write 8.7168820190345 in the form p/q where p and q are both positive integers. To start with, 8.7168820190345 can be written as simply 8.7168820190345/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 8.7168820190345, which in this case is 13. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8.7168820190345/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 8.7168820190345/1 each by 10000000000000:

87168820190345/10 / 10000000000000/10 = 87168820190345 / 10000000000000

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 8.7168820190345 as a fraction:

3356/385 / 1

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