How to convert 978.18408146938 as a fraction

Question: What is 978.18408146938 as a fraction?


Answer: 978.18408146938 as a fraction is 37171/38


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How to convert 978.18408146938 as a fraction?

Solution:978.18408146938 as a fraction is 37171/38

Step 1:

The first step to converting 978.18408146938 to a fraction is to re-write 978.18408146938 in the form p/q where p and q are both positive integers. To start with, 978.18408146938 can be written as simply 978.18408146938/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 978.18408146938, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 978.18408146938/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 978.18408146938/1 each by 100000000000:

97818408146938/10 / 100000000000/10 = 97818408146938 / 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 978.18408146938 as a fraction:

37171/38 / 1

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