How to convert 423.565 as a fraction

Question: What is 423.565 as a fraction?


Answer: 423.565 as a fraction is 9742/23


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How to convert 423.565 as a fraction?

Solution:423.565 as a fraction is 9742/23

Step 1:

The first step to converting 423.565 to a fraction is to re-write 423.565 in the form p/q where p and q are both positive integers. To start with, 423.565 can be written as simply 423.565/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 423.565, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 423.565/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 423.565/1 each by 1000:

423565/10 / 1000/10 = 423565 / 1000

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 423.565 as a fraction:

9742/23 / 1

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