How to convert 758.9215926855 as a fraction

Question: What is 758.9215926855 as a fraction?


Answer: 758.9215926855 as a fraction is 38705/51


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How to convert 758.9215926855 as a fraction?

Solution:758.9215926855 as a fraction is 38705/51

Step 1:

The first step to converting 758.9215926855 to a fraction is to re-write 758.9215926855 in the form p/q where p and q are both positive integers. To start with, 758.9215926855 can be written as simply 758.9215926855/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 758.9215926855, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 758.9215926855/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 758.9215926855/1 each by 10000000000:

7589215926855/10 / 10000000000/10 = 7589215926855 / 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 758.9215926855 as a fraction:

38705/51 / 1

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