How to convert 145.1949 as a fraction

Question: What is 145.1949 as a fraction?


Answer: 145.1949 as a fraction is 11180/77


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How to convert 145.1949 as a fraction?

Solution:145.1949 as a fraction is 11180/77

Step 1:

The first step to converting 145.1949 to a fraction is to re-write 145.1949 in the form p/q where p and q are both positive integers. To start with, 145.1949 can be written as simply 145.1949/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 145.1949, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 145.1949/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 145.1949/1 each by 10000:

1451949/10 / 10000/10 = 1451949 / 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 145.1949 as a fraction:

11180/77 / 1

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