How to convert 145.4749 as a fraction

Question: What is 145.4749 as a fraction?


Answer: 145.4749 as a fraction is 5819/40


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How to convert 145.4749 as a fraction?

Solution:145.4749 as a fraction is 5819/40

Step 1:

The first step to converting 145.4749 to a fraction is to re-write 145.4749 in the form p/q where p and q are both positive integers. To start with, 145.4749 can be written as simply 145.4749/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 145.4749, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 145.4749/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 145.4749/1 each by 10000:

1454749/10 / 10000/10 = 1454749 / 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 145.4749 as a fraction:

5819/40 / 1

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