How to convert 150.30740508953 as a fraction

Question: What is 150.30740508953 as a fraction?


Answer: 150.30740508953 as a fraction is 38629/257


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How to convert 150.30740508953 as a fraction?

Solution:150.30740508953 as a fraction is 38629/257

Step 1:

The first step to converting 150.30740508953 to a fraction is to re-write 150.30740508953 in the form p/q where p and q are both positive integers. To start with, 150.30740508953 can be written as simply 150.30740508953/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 150.30740508953, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 150.30740508953/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 150.30740508953/1 each by 100000000000:

15030740508953/10 / 100000000000/10 = 15030740508953 / 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 150.30740508953 as a fraction:

38629/257 / 1

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