How to convert 1464.375 as a fraction

Question: What is 1464.375 as a fraction?


Answer: 1464.375 as a fraction is 11715/8


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How to convert 1464.375 as a fraction?

Solution:1464.375 as a fraction is 11715/8

Step 1:

The first step to converting 1464.375 to a fraction is to re-write 1464.375 in the form p/q where p and q are both positive integers. To start with, 1464.375 can be written as simply 1464.375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1464.375, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1464.375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1464.375/1 each by 1000:

1464375/10 / 1000/10 = 1464375 / 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 1464.375 as a fraction:

11715/8 / 1

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