How to convert 0.95208414944725 as a fraction

Question: What is 0.95208414944725 as a fraction?


Answer: 0.95208414944725 as a fraction is 457/480


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How to convert 0.95208414944725 as a fraction?

Solution:0.95208414944725 as a fraction is 457/480

Step 1:

The first step to converting 0.95208414944725 to a fraction is to re-write 0.95208414944725 in the form p/q where p and q are both positive integers. To start with, 0.95208414944725 can be written as simply 0.95208414944725/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.95208414944725, which in this case is 14. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.95208414944725/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.95208414944725/1 each by 100000000000000:

095208414944725/10 / 100000000000000/10 = 095208414944725 / 100000000000000

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 0.95208414944725 as a fraction:

457/480 / 1

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