How to convert 700.49765624999 as a fraction

Question: What is 700.49765624999 as a fraction?


Answer: 700.49765624999 as a fraction is 149206/213


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How to convert 700.49765624999 as a fraction?

Solution:700.49765624999 as a fraction is 149206/213

Step 1:

The first step to converting 700.49765624999 to a fraction is to re-write 700.49765624999 in the form p/q where p and q are both positive integers. To start with, 700.49765624999 can be written as simply 700.49765624999/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 700.49765624999, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 700.49765624999/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 700.49765624999/1 each by 100000000000:

70049765624999/10 / 100000000000/10 = 70049765624999 / 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 700.49765624999 as a fraction:

149206/213 / 1

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