How to convert 25.7740878125 as a fraction

Question: What is 25.7740878125 as a fraction?


Answer: 25.7740878125 as a fraction is 7758/301


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How to convert 25.7740878125 as a fraction?

Solution:25.7740878125 as a fraction is 7758/301

Step 1:

The first step to converting 25.7740878125 to a fraction is to re-write 25.7740878125 in the form p/q where p and q are both positive integers. To start with, 25.7740878125 can be written as simply 25.7740878125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 25.7740878125, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 25.7740878125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 25.7740878125/1 each by 10000000000:

257740878125/10 / 10000000000/10 = 257740878125 / 10000000000

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 25.7740878125 as a fraction:

7758/301 / 1

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