How to convert 4.658415 as a fraction

Question: What is 4.658415 as a fraction?


Answer: 4.658415 as a fraction is 941/202


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How to convert 4.658415 as a fraction?

Solution:4.658415 as a fraction is 941/202

Step 1:

The first step to converting 4.658415 to a fraction is to re-write 4.658415 in the form p/q where p and q are both positive integers. To start with, 4.658415 can be written as simply 4.658415/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 4.658415, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.658415/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 4.658415/1 each by 1000000:

4658415/10 / 1000000/10 = 4658415 / 1000000

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 4.658415 as a fraction:

941/202 / 1

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