How to convert 154.213984375 as a fraction

Question: What is 154.213984375 as a fraction?


Answer: 154.213984375 as a fraction is 35315/229


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How to convert 154.213984375 as a fraction?

Solution:154.213984375 as a fraction is 35315/229

Step 1:

The first step to converting 154.213984375 to a fraction is to re-write 154.213984375 in the form p/q where p and q are both positive integers. To start with, 154.213984375 can be written as simply 154.213984375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 154.213984375, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 154.213984375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 154.213984375/1 each by 1000000000:

154213984375/10 / 1000000000/10 = 154213984375 / 1000000000

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 154.213984375 as a fraction:

35315/229 / 1

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