How to convert 155.3825390625 as a fraction

Question: What is 155.3825390625 as a fraction?


Answer: 155.3825390625 as a fraction is 23152/149


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How to convert 155.3825390625 as a fraction?

Solution:155.3825390625 as a fraction is 23152/149

Step 1:

The first step to converting 155.3825390625 to a fraction is to re-write 155.3825390625 in the form p/q where p and q are both positive integers. To start with, 155.3825390625 can be written as simply 155.3825390625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 155.3825390625, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 155.3825390625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 155.3825390625/1 each by 10000000000:

1553825390625/10 / 10000000000/10 = 1553825390625 / 10000000000

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 155.3825390625 as a fraction:

23152/149 / 1

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