How to convert 370.3742 as a fraction

Question: What is 370.3742 as a fraction?


Answer: 370.3742 as a fraction is 57408/155


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How to convert 370.3742 as a fraction?

Solution:370.3742 as a fraction is 57408/155

Step 1:

The first step to converting 370.3742 to a fraction is to re-write 370.3742 in the form p/q where p and q are both positive integers. To start with, 370.3742 can be written as simply 370.3742/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 370.3742, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 370.3742/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 370.3742/1 each by 10000:

3703742/10 / 10000/10 = 3703742 / 10000

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 370.3742 as a fraction:

57408/155 / 1

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