How to convert 69.78578124954 as a fraction

Question: What is 69.78578124954 as a fraction?


Answer: 69.78578124954 as a fraction is 977/14


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How to convert 69.78578124954 as a fraction?

Solution:69.78578124954 as a fraction is 977/14

Step 1:

The first step to converting 69.78578124954 to a fraction is to re-write 69.78578124954 in the form p/q where p and q are both positive integers. To start with, 69.78578124954 can be written as simply 69.78578124954/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 69.78578124954, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 69.78578124954/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 69.78578124954/1 each by 100000000000:

6978578124954/10 / 100000000000/10 = 6978578124954 / 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 69.78578124954 as a fraction:

977/14 / 1

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