How to convert 958.7343749938 as a fraction

Question: What is 958.7343749938 as a fraction?


Answer: 958.7343749938 as a fraction is 61359/64


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How to convert 958.7343749938 as a fraction?

Solution:958.7343749938 as a fraction is 61359/64

Step 1:

The first step to converting 958.7343749938 to a fraction is to re-write 958.7343749938 in the form p/q where p and q are both positive integers. To start with, 958.7343749938 can be written as simply 958.7343749938/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 958.7343749938, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 958.7343749938/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 958.7343749938/1 each by 10000000000:

9587343749938/10 / 10000000000/10 = 9587343749938 / 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 958.7343749938 as a fraction:

61359/64 / 1

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