How to convert 312.3548 as a fraction

Question: What is 312.3548 as a fraction?


Answer: 312.3548 as a fraction is 9683/31


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How to convert 312.3548 as a fraction?

Solution:312.3548 as a fraction is 9683/31

Step 1:

The first step to converting 312.3548 to a fraction is to re-write 312.3548 in the form p/q where p and q are both positive integers. To start with, 312.3548 can be written as simply 312.3548/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 312.3548, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 312.3548/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 312.3548/1 each by 10000:

3123548/10 / 10000/10 = 3123548 / 10000

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 312.3548 as a fraction:

9683/31 / 1

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