How to convert 553.42945381698 as a fraction

Question: What is 553.42945381698 as a fraction?


Answer: 553.42945381698 as a fraction is 86335/156


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How to convert 553.42945381698 as a fraction?

Solution:553.42945381698 as a fraction is 86335/156

Step 1:

The first step to converting 553.42945381698 to a fraction is to re-write 553.42945381698 in the form p/q where p and q are both positive integers. To start with, 553.42945381698 can be written as simply 553.42945381698/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 553.42945381698, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 553.42945381698/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 553.42945381698/1 each by 100000000000:

55342945381698/10 / 100000000000/10 = 55342945381698 / 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 553.42945381698 as a fraction:

86335/156 / 1

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