How to convert 146.2949 as a fraction

Question: What is 146.2949 as a fraction?


Answer: 146.2949 as a fraction is 11411/78


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How to convert 146.2949 as a fraction?

Solution:146.2949 as a fraction is 11411/78

Step 1:

The first step to converting 146.2949 to a fraction is to re-write 146.2949 in the form p/q where p and q are both positive integers. To start with, 146.2949 can be written as simply 146.2949/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 146.2949, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 146.2949/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 146.2949/1 each by 10000:

1462949/10 / 10000/10 = 1462949 / 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 146.2949 as a fraction:

11411/78 / 1

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