How to convert 5.140478515641 as a fraction

Question: What is 5.140478515641 as a fraction?


Answer: 5.140478515641 as a fraction is 2159/420


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How to convert 5.140478515641 as a fraction?

Solution:5.140478515641 as a fraction is 2159/420

Step 1:

The first step to converting 5.140478515641 to a fraction is to re-write 5.140478515641 in the form p/q where p and q are both positive integers. To start with, 5.140478515641 can be written as simply 5.140478515641/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.140478515641, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.140478515641/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.140478515641/1 each by 1000000000000:

5140478515641/10 / 1000000000000/10 = 5140478515641 / 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 5.140478515641 as a fraction:

2159/420 / 1

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