How to convert 492.78146940138 as a fraction

Question: What is 492.78146940138 as a fraction?


Answer: 492.78146940138 as a fraction is 15769/32


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How to convert 492.78146940138 as a fraction?

Solution:492.78146940138 as a fraction is 15769/32

Step 1:

The first step to converting 492.78146940138 to a fraction is to re-write 492.78146940138 in the form p/q where p and q are both positive integers. To start with, 492.78146940138 can be written as simply 492.78146940138/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 492.78146940138, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 492.78146940138/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 492.78146940138/1 each by 100000000000:

49278146940138/10 / 100000000000/10 = 49278146940138 / 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 492.78146940138 as a fraction:

15769/32 / 1

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