How to convert 53.628405760945 as a fraction

Question: What is 53.628405760945 as a fraction?


Answer: 53.628405760945 as a fraction is 7937/148


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How to convert 53.628405760945 as a fraction?

Solution:53.628405760945 as a fraction is 7937/148

Step 1:

The first step to converting 53.628405760945 to a fraction is to re-write 53.628405760945 in the form p/q where p and q are both positive integers. To start with, 53.628405760945 can be written as simply 53.628405760945/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 53.628405760945, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 53.628405760945/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 53.628405760945/1 each by 1000000000000:

53628405760945/10 / 1000000000000/10 = 53628405760945 / 1000000000000

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 53.628405760945 as a fraction:

7937/148 / 1

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