How to convert 67.78265624957 as a fraction

Question: What is 67.78265624957 as a fraction?


Answer: 67.78265624957 as a fraction is 1559/23


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How to convert 67.78265624957 as a fraction?

Solution:67.78265624957 as a fraction is 1559/23

Step 1:

The first step to converting 67.78265624957 to a fraction is to re-write 67.78265624957 in the form p/q where p and q are both positive integers. To start with, 67.78265624957 can be written as simply 67.78265624957/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 67.78265624957, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 67.78265624957/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 67.78265624957/1 each by 100000000000:

6778265624957/10 / 100000000000/10 = 6778265624957 / 100000000000

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 67.78265624957 as a fraction:

1559/23 / 1

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