How to convert 5.742914314202 as a fraction

Question: What is 5.742914314202 as a fraction?


Answer: 5.742914314202 as a fraction is 2837/494


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How to convert 5.742914314202 as a fraction?

Solution:5.742914314202 as a fraction is 2837/494

Step 1:

The first step to converting 5.742914314202 to a fraction is to re-write 5.742914314202 in the form p/q where p and q are both positive integers. To start with, 5.742914314202 can be written as simply 5.742914314202/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.742914314202, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.742914314202/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.742914314202/1 each by 1000000000000:

5742914314202/10 / 1000000000000/10 = 5742914314202 / 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 5.742914314202 as a fraction:

2837/494 / 1

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