How to convert 46.459816589375 as a fraction

Question: What is 46.459816589375 as a fraction?


Answer: 46.459816589375 as a fraction is 10407/224


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How to convert 46.459816589375 as a fraction?

Solution:46.459816589375 as a fraction is 10407/224

Step 1:

The first step to converting 46.459816589375 to a fraction is to re-write 46.459816589375 in the form p/q where p and q are both positive integers. To start with, 46.459816589375 can be written as simply 46.459816589375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 46.459816589375, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 46.459816589375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 46.459816589375/1 each by 1000000000000:

46459816589375/10 / 1000000000000/10 = 46459816589375 / 1000000000000

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 46.459816589375 as a fraction:

10407/224 / 1

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