How to convert 493.78214128402 as a fraction

Question: What is 493.78214128402 as a fraction?


Answer: 493.78214128402 as a fraction is 11357/23


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How to convert 493.78214128402 as a fraction?

Solution:493.78214128402 as a fraction is 11357/23

Step 1:

The first step to converting 493.78214128402 to a fraction is to re-write 493.78214128402 in the form p/q where p and q are both positive integers. To start with, 493.78214128402 can be written as simply 493.78214128402/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 493.78214128402, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 493.78214128402/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 493.78214128402/1 each by 100000000000:

49378214128402/10 / 100000000000/10 = 49378214128402 / 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 493.78214128402 as a fraction:

11357/23 / 1

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