LESSON II. Learn the 30 fraction-decimal-per cent equivalents in the table below and, most importantly, how they are generated or created so that memorizing them is not simply a mindless process. The reason for this is that memorized information quite often needs reinforcement and is easily forgotten.

However; if you understand a concept and can reason your way to an answer or solution, you should never be able to forget the concept.

Learning the fractional-decimal-per cent equivalents of only 30 values will allow you (upon brief analysis of any numbers involved in a problem) to force almost any problem to within the constraints of your knowledge; for example, if 625 (or .0625 or 6250, etc.) represents both 1/16 and 5/8, you would choose to use 5/8 rather than 1/16 since you learned long ago to multiply by 5 and divide by 8 but did not learn how to divide by 16 easily.

6 1/4: ...50% is 1/2; ...25% is 1/4; ...12 1/2% is 1/8; ...6 1/4% is 1/16
...therefore the sixteenths, eighths, fourths and halves are:
...6 1/4%...12 1/2%...18 3/4%...25%...31 1/4%...37 1/2%...43 3/4%...50%...etc.

8 1/3: ...33 1/3% is 1/3; ...16 2/3% is 1/6; ...8 1/3% is 1/12
...therefore the twelfths, sixths, fourths, thirds and halves are:
...8 1/3%...16 2/3%...25%...33 1/3%...41 2/3%...50%...etc.

5: ...20% is 1/5; ...10% is 1/10; ...5% is 1/20;
...therefore the twentieths, tenths, fifths, fourths and halves are
...5%...10%...15%...20%...25%...30%...35%...40%...45%...50%...etc.

4: 4% is 1/25...therefore the twenty-fifths are are:
...4%...8%...12%...16%...20%...24%...28%...32%...36%...40%...44%...48%...52%...etc.

11 1/9: 11 1/9% is 1/9...therefore the ninths and thirds are:
...11 1/9%...22 2/9%...33 1/3%...44 4/9%...55 5/9%...etc.

9 1/11: 9 1/11% is 1/11...therefore the elevenths are:
...9 1/11%...18 2/11%...27 3/11%...36 4/11%...45 5/11%...54 6/11%...etc.

142857142857...(14 4/7%) (2 x 7...2 x 14...2 X 28 + 1): is a repeating number that produces the sevenths.
...[ Begin with 1, then 2, then 4, then 5, then 7 then 8; carry out as far as desired ] ...14.18571%...28.57142%...42.85714%...57.14285%...71.42857%...85.71428...etc.

You will find that the above sequences allow you to use per cents, whole numbers, decimals and their fractional equivalents in solving problems - whichever form of the number you find easiest to work with. I have arranged these equivalents into a TABLE which presents all of the above in a reasonable, orderly fashion.

Further, I have provided you with a series of useful EXAMPLES which should prove helpful in your beginning to choose the easiest way to do any math problem.

Bart Jones     1128-A Beville Road      Daytona Beach, FL  32114-5769 Ofc:  (386)  252-4366      Alt:  252-4278      Fax:  252-6385 e-mail: Math