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Consider first the numbers in which the first digit is 6. There are ten of these, from 60 through 69. There are nine other possible first digits, 0 through 5 and 7 through 9. Each of these can have 6 as its second digit. Therefore, the total asked for is 19.

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Q: How many numbers between 1 and 100 use 6?
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19 of them do.


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To find a fraction between any two numbers, multiply the two numbers and divide by two. This way we can find unlimited numbers / fractions between any two fractions/numbers. The other way to find fractions between any two fractions is to divide and multiply both the numbers by 100, or 1000, and make the denominators same. Then the numbers between the two numerators gives all the numbers/fractions between those two numbers. For example, to find 100 fractions between 1 and 2, multiply and divide 1 and 2 by 100. This gives 100/100 and 200/100. Now the in between fractions are 101/100, 102/100, 103/100 upto 199/100. To find more, either multiply by 1000 instead of 100 to get 999 fractions. Or use any two numbers above and repeat the same process. To find fractions between 1.2 and 1.205, multiply and divide both numbers by 10000 This gives 12000/10000, 12050/10000. So the in between fractions are 12001/10000, 12002/10000 and so on till 12049/10000. Convert them to decimal.


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