How to convert 5.42789 as a fraction

Question: What is 5.42789 as a fraction?


Answer: 5.42789 as a fraction is 1129/208


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How to convert 5.42789 as a fraction?

Solution:5.42789 as a fraction is 1129/208

Step 1:

The first step to converting 5.42789 to a fraction is to re-write 5.42789 in the form p/q where p and q are both positive integers. To start with, 5.42789 can be written as simply 5.42789/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.42789, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.42789/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.42789/1 each by 100000:

542789/10 / 100000/10 = 542789 / 100000

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 5.42789 as a fraction:

1129/208 / 1

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