How to convert 7.46458227465 as a fraction

Question: What is 7.46458227465 as a fraction?


Answer: 7.46458227465 as a fraction is 3583/480


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How to convert 7.46458227465 as a fraction?

Solution:7.46458227465 as a fraction is 3583/480

Step 1:

The first step to converting 7.46458227465 to a fraction is to re-write 7.46458227465 in the form p/q where p and q are both positive integers. To start with, 7.46458227465 can be written as simply 7.46458227465/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 7.46458227465, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.46458227465/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 7.46458227465/1 each by 100000000000:

746458227465/10 / 100000000000/10 = 746458227465 / 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 7.46458227465 as a fraction:

3583/480 / 1

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