How to convert 7.31428571424 as a fraction

Question: What is 7.31428571424 as a fraction?


Answer: 7.31428571424 as a fraction is 256/35


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How to convert 7.31428571424 as a fraction?

Solution:7.31428571424 as a fraction is 256/35

Step 1:

The first step to converting 7.31428571424 to a fraction is to re-write 7.31428571424 in the form p/q where p and q are both positive integers. To start with, 7.31428571424 can be written as simply 7.31428571424/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 7.31428571424, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.31428571424/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 7.31428571424/1 each by 100000000000:

731428571424/10 / 100000000000/10 = 731428571424 / 100000000000

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 7.31428571424 as a fraction:

256/35 / 1

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