How to convert 78.1662 as a fraction

Question: What is 78.1662 as a fraction?


Answer: 78.1662 as a fraction is 27749/355


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How to convert 78.1662 as a fraction?

Solution:78.1662 as a fraction is 27749/355

Step 1:

The first step to converting 78.1662 to a fraction is to re-write 78.1662 in the form p/q where p and q are both positive integers. To start with, 78.1662 can be written as simply 78.1662/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 78.1662, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 78.1662/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 78.1662/1 each by 10000:

781662/10 / 10000/10 = 781662 / 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 78.1662 as a fraction:

27749/355 / 1

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