How to convert 35.578526812738 as a fraction

Question: What is 35.578526812738 as a fraction?


Answer: 35.578526812738 as a fraction is 4305/121


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How to convert 35.578526812738 as a fraction?

Solution:35.578526812738 as a fraction is 4305/121

Step 1:

The first step to converting 35.578526812738 to a fraction is to re-write 35.578526812738 in the form p/q where p and q are both positive integers. To start with, 35.578526812738 can be written as simply 35.578526812738/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 35.578526812738, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 35.578526812738/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 35.578526812738/1 each by 1000000000000:

35578526812738/10 / 1000000000000/10 = 35578526812738 / 1000000000000

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 35.578526812738 as a fraction:

4305/121 / 1

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