How to convert 135.14535386578 as a fraction

Question: What is 135.14535386578 as a fraction?


Answer: 135.14535386578 as a fraction is 7433/55


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How to convert 135.14535386578 as a fraction?

Solution:135.14535386578 as a fraction is 7433/55

Step 1:

The first step to converting 135.14535386578 to a fraction is to re-write 135.14535386578 in the form p/q where p and q are both positive integers. To start with, 135.14535386578 can be written as simply 135.14535386578/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 135.14535386578, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 135.14535386578/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 135.14535386578/1 each by 100000000000:

13514535386578/10 / 100000000000/10 = 13514535386578 / 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 135.14535386578 as a fraction:

7433/55 / 1

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