How to convert 167.89453827414 as a fraction

Question: What is 167.89453827414 as a fraction?


Answer: 167.89453827414 as a fraction is 42981/256


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How to convert 167.89453827414 as a fraction?

Solution:167.89453827414 as a fraction is 42981/256

Step 1:

The first step to converting 167.89453827414 to a fraction is to re-write 167.89453827414 in the form p/q where p and q are both positive integers. To start with, 167.89453827414 can be written as simply 167.89453827414/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 167.89453827414, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 167.89453827414/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 167.89453827414/1 each by 100000000000:

16789453827414/10 / 100000000000/10 = 16789453827414 / 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 167.89453827414 as a fraction:

42981/256 / 1

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