The decimal system - fractional amounts

When dealing with partial values less than 1, then the columns of the normal decimal system are extended rightwards after a decimal point. The columns based on negative powers of ten:

0.1	1/10 , or 10-1
0.01	1/100 , or 10-2
0.001	1/1000 , or 10-3
0.0001	1/10000 , or 10-4
0.00001	1/100000 , or 10-5
0.000001	1/1000000 , or 10-6
0.0000001	1/10000000 , or 10-7
0.00000001	1/100000000 , or 10-8
0.000000001	1/1000000000 , or 10-9

The English names for these fractions of powers of 10 are :

1/10	One tenth
1/100	One hundredth
1/1000	One thousandth
1/10,000	One ten-thousandth
1/100,000	One hundred-thousandth
1/1,000,000	One millionth
1/10,000,000	One ten-millionth
1/100,000,000	One hundred-millionth
1/1,000,000,000	One billionth

It is also well worthwhile learning the most common fraction - decimal equivalents. For each of the three difficulty levels, you may be tested on any of the following:

Level 1:

1/2   =  0.5
1/10  =  0.1
1/5   =  0.2
1/4   =  0.25
3/10  =  0.3
2/5   =  0.4
3/5   =  0.6
7/10  =  0.7
4/5   =  0.8
9/10  =  0.9

Level 2:

1/3  =  0.333r
1/6  =  0.1666r
1/8  =  0.125
1/20 =  0.05
1/25 =  0.04
3/20 =  0.15
7/20 =  0.35
9/20 =  0.45

Level 3:

1/7 =  0.142857 rpt
1/9 =  0.111r
1/11 = 0.090909
1/12 = 0.08333r
1/13 = 0.076923 rpt
1/14 = 0.0714285714285 rpt
1/15 = 0.0666 rpt

Difficulty Levels - typical questions :

1:
What is the decimal equivalent of 3/5 ?
In the decimal 84.643, what is the value of the digit in red at position 1 after the decimal point?

2:
What is the fraction equivalent of 9/20 ?
In the decimal 41.327673 , what is the value of the digit in red at position 4 after the decimal point?

3:
What is the fraction equivalent of 1/13 ?
In the decimal 43.639494768 , what is the value of the digit in red at position 7 after the decimal point?