How to convert 37.149037578125 as a fraction

Question: What is 37.149037578125 as a fraction?


Answer: 37.149037578125 as a fraction is 7727/208


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How to convert 37.149037578125 as a fraction?

Solution:37.149037578125 as a fraction is 7727/208

Step 1:

The first step to converting 37.149037578125 to a fraction is to re-write 37.149037578125 in the form p/q where p and q are both positive integers. To start with, 37.149037578125 can be written as simply 37.149037578125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 37.149037578125, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 37.149037578125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 37.149037578125/1 each by 1000000000000:

37149037578125/10 / 1000000000000/10 = 37149037578125 / 1000000000000

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 37.149037578125 as a fraction:

7727/208 / 1

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