How to convert 5.724107498917 as a fraction

Question: What is 5.724107498917 as a fraction?


Answer: 5.724107498917 as a fraction is 6411/1120


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How to convert 5.724107498917 as a fraction?

Solution:5.724107498917 as a fraction is 6411/1120

Step 1:

The first step to converting 5.724107498917 to a fraction is to re-write 5.724107498917 in the form p/q where p and q are both positive integers. To start with, 5.724107498917 can be written as simply 5.724107498917/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.724107498917, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.724107498917/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.724107498917/1 each by 1000000000000:

5724107498917/10 / 1000000000000/10 = 5724107498917 / 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 5.724107498917 as a fraction:

6411/1120 / 1

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