How to convert 41.78148198747 as a fraction

Question: What is 41.78148198747 as a fraction?


Answer: 41.78148198747 as a fraction is 4972/119


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How to convert 41.78148198747 as a fraction?

Solution:41.78148198747 as a fraction is 4972/119

Step 1:

The first step to converting 41.78148198747 to a fraction is to re-write 41.78148198747 in the form p/q where p and q are both positive integers. To start with, 41.78148198747 can be written as simply 41.78148198747/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 41.78148198747, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 41.78148198747/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 41.78148198747/1 each by 100000000000:

4178148198747/10 / 100000000000/10 = 4178148198747 / 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 41.78148198747 as a fraction:

4972/119 / 1

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