How to convert 5.765433 as a fraction

Question: What is 5.765433 as a fraction?


Answer: 5.765433 as a fraction is 467/81


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How to convert 5.765433 as a fraction?

Solution:5.765433 as a fraction is 467/81

Step 1:

The first step to converting 5.765433 to a fraction is to re-write 5.765433 in the form p/q where p and q are both positive integers. To start with, 5.765433 can be written as simply 5.765433/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.765433, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.765433/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.765433/1 each by 1000000:

5765433/10 / 1000000/10 = 5765433 / 1000000

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 5.765433 as a fraction:

467/81 / 1

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