How to convert 758.40101094048 as a fraction

Question: What is 758.40101094048 as a fraction?


Answer: 758.40101094048 as a fraction is 149405/197


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How to convert 758.40101094048 as a fraction?

Solution:758.40101094048 as a fraction is 149405/197

Step 1:

The first step to converting 758.40101094048 to a fraction is to re-write 758.40101094048 in the form p/q where p and q are both positive integers. To start with, 758.40101094048 can be written as simply 758.40101094048/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 758.40101094048, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 758.40101094048/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 758.40101094048/1 each by 100000000000:

75840101094048/10 / 100000000000/10 = 75840101094048 / 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 758.40101094048 as a fraction:

149405/197 / 1

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