How to convert 5.412319606335 as a fraction

Question: What is 5.412319606335 as a fraction?


Answer: 5.412319606335 as a fraction is 1142/211


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How to convert 5.412319606335 as a fraction?

Solution:5.412319606335 as a fraction is 1142/211

Step 1:

The first step to converting 5.412319606335 to a fraction is to re-write 5.412319606335 in the form p/q where p and q are both positive integers. To start with, 5.412319606335 can be written as simply 5.412319606335/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.412319606335, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.412319606335/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.412319606335/1 each by 1000000000000:

5412319606335/10 / 1000000000000/10 = 5412319606335 / 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 5.412319606335 as a fraction:

1142/211 / 1

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