How to convert 988.65258114945 as a fraction

Question: What is 988.65258114945 as a fraction?


Answer: 988.65258114945 as a fraction is 22739/23


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How to convert 988.65258114945 as a fraction?

Solution:988.65258114945 as a fraction is 22739/23

Step 1:

The first step to converting 988.65258114945 to a fraction is to re-write 988.65258114945 in the form p/q where p and q are both positive integers. To start with, 988.65258114945 can be written as simply 988.65258114945/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 988.65258114945, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 988.65258114945/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 988.65258114945/1 each by 100000000000:

98865258114945/10 / 100000000000/10 = 98865258114945 / 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 988.65258114945 as a fraction:

22739/23 / 1

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