How to convert 498.74829831248 as a fraction

Question: What is 498.74829831248 as a fraction?


Answer: 498.74829831248 as a fraction is 71321/143


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How to convert 498.74829831248 as a fraction?

Solution:498.74829831248 as a fraction is 71321/143

Step 1:

The first step to converting 498.74829831248 to a fraction is to re-write 498.74829831248 in the form p/q where p and q are both positive integers. To start with, 498.74829831248 can be written as simply 498.74829831248/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 498.74829831248, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 498.74829831248/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 498.74829831248/1 each by 100000000000:

49874829831248/10 / 100000000000/10 = 49874829831248 / 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 498.74829831248 as a fraction:

71321/143 / 1

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