How to convert 430.78257912948 as a fraction

Question: What is 430.78257912948 as a fraction?


Answer: 430.78257912948 as a fraction is 9908/23


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How to convert 430.78257912948 as a fraction?

Solution:430.78257912948 as a fraction is 9908/23

Step 1:

The first step to converting 430.78257912948 to a fraction is to re-write 430.78257912948 in the form p/q where p and q are both positive integers. To start with, 430.78257912948 can be written as simply 430.78257912948/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 430.78257912948, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 430.78257912948/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 430.78257912948/1 each by 100000000000:

43078257912948/10 / 100000000000/10 = 43078257912948 / 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 430.78257912948 as a fraction:

9908/23 / 1

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