How to convert 5305.142 as a fraction

Question: What is 5305.142 as a fraction?


Answer: 5305.142 as a fraction is 37136/7


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How to convert 5305.142 as a fraction?

Solution:5305.142 as a fraction is 37136/7

Step 1:

The first step to converting 5305.142 to a fraction is to re-write 5305.142 in the form p/q where p and q are both positive integers. To start with, 5305.142 can be written as simply 5305.142/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5305.142, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5305.142/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5305.142/1 each by 1000:

5305142/10 / 1000/10 = 5305142 / 1000

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 5305.142 as a fraction:

37136/7 / 1

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