How to convert 15.782343750456 as a fraction

Question: What is 15.782343750456 as a fraction?


Answer: 15.782343750456 as a fraction is 2683/170


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How to convert 15.782343750456 as a fraction?

Solution:15.782343750456 as a fraction is 2683/170

Step 1:

The first step to converting 15.782343750456 to a fraction is to re-write 15.782343750456 in the form p/q where p and q are both positive integers. To start with, 15.782343750456 can be written as simply 15.782343750456/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 15.782343750456, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 15.782343750456/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 15.782343750456/1 each by 1000000000000:

15782343750456/10 / 1000000000000/10 = 15782343750456 / 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 15.782343750456 as a fraction:

2683/170 / 1

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