How to convert 22.78162109375 as a fraction

Question: What is 22.78162109375 as a fraction?


Answer: 22.78162109375 as a fraction is 1982/87


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How to convert 22.78162109375 as a fraction?

Solution:22.78162109375 as a fraction is 1982/87

Step 1:

The first step to converting 22.78162109375 to a fraction is to re-write 22.78162109375 in the form p/q where p and q are both positive integers. To start with, 22.78162109375 can be written as simply 22.78162109375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 22.78162109375, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 22.78162109375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 22.78162109375/1 each by 100000000000:

2278162109375/10 / 100000000000/10 = 2278162109375 / 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 22.78162109375 as a fraction:

1982/87 / 1

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