How to convert 705.523288656 as a fraction

Question: What is 705.523288656 as a fraction?


Answer: 705.523288656 as a fraction is 14816/21


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How to convert 705.523288656 as a fraction?

Solution:705.523288656 as a fraction is 14816/21

Step 1:

The first step to converting 705.523288656 to a fraction is to re-write 705.523288656 in the form p/q where p and q are both positive integers. To start with, 705.523288656 can be written as simply 705.523288656/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 705.523288656, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 705.523288656/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 705.523288656/1 each by 1000000000:

705523288656/10 / 1000000000/10 = 705523288656 / 1000000000

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 705.523288656 as a fraction:

14816/21 / 1

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