How to convert 364.34758627949 as a fraction

Question: What is 364.34758627949 as a fraction?


Answer: 364.34758627949 as a fraction is 8380/23


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How to convert 364.34758627949 as a fraction?

Solution:364.34758627949 as a fraction is 8380/23

Step 1:

The first step to converting 364.34758627949 to a fraction is to re-write 364.34758627949 in the form p/q where p and q are both positive integers. To start with, 364.34758627949 can be written as simply 364.34758627949/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 364.34758627949, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 364.34758627949/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 364.34758627949/1 each by 100000000000:

36434758627949/10 / 100000000000/10 = 36434758627949 / 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 364.34758627949 as a fraction:

8380/23 / 1

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