How to convert 974.3434958506 as a fraction

Question: What is 974.3434958506 as a fraction?


Answer: 974.3434958506 as a fraction is 31179/32


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How to convert 974.3434958506 as a fraction?

Solution:974.3434958506 as a fraction is 31179/32

Step 1:

The first step to converting 974.3434958506 to a fraction is to re-write 974.3434958506 in the form p/q where p and q are both positive integers. To start with, 974.3434958506 can be written as simply 974.3434958506/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 974.3434958506, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 974.3434958506/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 974.3434958506/1 each by 10000000000:

9743434958506/10 / 10000000000/10 = 9743434958506 / 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 974.3434958506 as a fraction:

31179/32 / 1

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