How to convert 34.4509782375 as a fraction

Question: What is 34.4509782375 as a fraction?


Answer: 34.4509782375 as a fraction is 1757/51


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How to convert 34.4509782375 as a fraction?

Solution:34.4509782375 as a fraction is 1757/51

Step 1:

The first step to converting 34.4509782375 to a fraction is to re-write 34.4509782375 in the form p/q where p and q are both positive integers. To start with, 34.4509782375 can be written as simply 34.4509782375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 34.4509782375, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 34.4509782375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 34.4509782375/1 each by 10000000000:

344509782375/10 / 10000000000/10 = 344509782375 / 10000000000

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 34.4509782375 as a fraction:

1757/51 / 1

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