How to convert 978.76589649375 as a fraction

Question: What is 978.76589649375 as a fraction?


Answer: 978.76589649375 as a fraction is 46002/47


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How to convert 978.76589649375 as a fraction?

Solution:978.76589649375 as a fraction is 46002/47

Step 1:

The first step to converting 978.76589649375 to a fraction is to re-write 978.76589649375 in the form p/q where p and q are both positive integers. To start with, 978.76589649375 can be written as simply 978.76589649375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 978.76589649375, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 978.76589649375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 978.76589649375/1 each by 100000000000:

97876589649375/10 / 100000000000/10 = 97876589649375 / 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 978.76589649375 as a fraction:

46002/47 / 1

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