How to convert 972.3782031235 as a fraction

Question: What is 972.3782031235 as a fraction?


Answer: 972.3782031235 as a fraction is 35978/37


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How to convert 972.3782031235 as a fraction?

Solution:972.3782031235 as a fraction is 35978/37

Step 1:

The first step to converting 972.3782031235 to a fraction is to re-write 972.3782031235 in the form p/q where p and q are both positive integers. To start with, 972.3782031235 can be written as simply 972.3782031235/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 972.3782031235, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 972.3782031235/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 972.3782031235/1 each by 10000000000:

9723782031235/10 / 10000000000/10 = 9723782031235 / 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 972.3782031235 as a fraction:

35978/37 / 1

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