How to convert 233.545 as a fraction

Question: What is 233.545 as a fraction?


Answer: 233.545 as a fraction is 44140/189


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How to convert 233.545 as a fraction?

Solution:233.545 as a fraction is 44140/189

Step 1:

The first step to converting 233.545 to a fraction is to re-write 233.545 in the form p/q where p and q are both positive integers. To start with, 233.545 can be written as simply 233.545/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 233.545, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 233.545/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 233.545/1 each by 1000:

233545/10 / 1000/10 = 233545 / 1000

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 233.545 as a fraction:

44140/189 / 1

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