How to convert 149.22249999983 as a fraction

Question: What is 149.22249999983 as a fraction?


Answer: 149.22249999983 as a fraction is 59689/400


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How to convert 149.22249999983 as a fraction?

Solution:149.22249999983 as a fraction is 59689/400

Step 1:

The first step to converting 149.22249999983 to a fraction is to re-write 149.22249999983 in the form p/q where p and q are both positive integers. To start with, 149.22249999983 can be written as simply 149.22249999983/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 149.22249999983, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 149.22249999983/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 149.22249999983/1 each by 100000000000:

14922249999983/10 / 100000000000/10 = 14922249999983 / 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 149.22249999983 as a fraction:

59689/400 / 1

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