How to convert 5.788415 as a fraction

Question: What is 5.788415 as a fraction?


Answer: 5.788415 as a fraction is 2298/397


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How to convert 5.788415 as a fraction?

Solution:5.788415 as a fraction is 2298/397

Step 1:

The first step to converting 5.788415 to a fraction is to re-write 5.788415 in the form p/q where p and q are both positive integers. To start with, 5.788415 can be written as simply 5.788415/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.788415, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.788415/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.788415/1 each by 1000000:

5788415/10 / 1000000/10 = 5788415 / 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 5.788415 as a fraction:

2298/397 / 1

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