How to convert 154.4311625 as a fraction

Question: What is 154.4311625 as a fraction?


Answer: 154.4311625 as a fraction is 8957/58


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How to convert 154.4311625 as a fraction?

Solution:154.4311625 as a fraction is 8957/58

Step 1:

The first step to converting 154.4311625 to a fraction is to re-write 154.4311625 in the form p/q where p and q are both positive integers. To start with, 154.4311625 can be written as simply 154.4311625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 154.4311625, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 154.4311625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 154.4311625/1 each by 10000000:

1544311625/10 / 10000000/10 = 1544311625 / 10000000

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 154.4311625 as a fraction:

8957/58 / 1

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