How to convert 345.20141591877 as a fraction

Question: What is 345.20141591877 as a fraction?


Answer: 345.20141591877 as a fraction is 47983/139


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How to convert 345.20141591877 as a fraction?

Solution:345.20141591877 as a fraction is 47983/139

Step 1:

The first step to converting 345.20141591877 to a fraction is to re-write 345.20141591877 in the form p/q where p and q are both positive integers. To start with, 345.20141591877 can be written as simply 345.20141591877/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 345.20141591877, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 345.20141591877/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 345.20141591877/1 each by 100000000000:

34520141591877/10 / 100000000000/10 = 34520141591877 / 100000000000

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 345.20141591877 as a fraction:

47983/139 / 1

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