How to convert 1578.2075 as a fraction

Question: What is 1578.2075 as a fraction?


Answer: 1578.2075 as a fraction is 37877/24


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How to convert 1578.2075 as a fraction?

Solution:1578.2075 as a fraction is 37877/24

Step 1:

The first step to converting 1578.2075 to a fraction is to re-write 1578.2075 in the form p/q where p and q are both positive integers. To start with, 1578.2075 can be written as simply 1578.2075/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1578.2075, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1578.2075/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1578.2075/1 each by 10000:

15782075/10 / 10000/10 = 15782075 / 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 1578.2075 as a fraction:

37877/24 / 1

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