How to convert 123.1589 as a fraction

Question: What is 123.1589 as a fraction?


Answer: 123.1589 as a fraction is 13178/107


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How to convert 123.1589 as a fraction?

Solution:123.1589 as a fraction is 13178/107

Step 1:

The first step to converting 123.1589 to a fraction is to re-write 123.1589 in the form p/q where p and q are both positive integers. To start with, 123.1589 can be written as simply 123.1589/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 123.1589, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 123.1589/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 123.1589/1 each by 10000:

1231589/10 / 10000/10 = 1231589 / 10000

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 123.1589 as a fraction:

13178/107 / 1

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