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YOU are better than YOU think. Show yourself how:
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-/[]\- Logic chapters 1 to 5 re- appear not in sequence, as is or longer, in Volume 1A, Pattern Based Reason, Bon Appetite. Logic
Mastery Logic mastery makes the hard, easier. Logic mastery leads to better, stronger and richer comprehension. Logic mastery improves reading and writing. Logic mastery ease learning difficulties. Logic mastery gives a headstart. In sum, logic mastery will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck. After logic, (a) continue reading Three Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving liinear Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes & More Math, chapters 2 to 6;
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-/[]\- What may be learnt and when depends on how skills and concepts are developed. Making the hard easier and clearer will allow earlier & richer development of skills and concepts. Try the Twiddla
Whiteboard. In principle, it allows
to people to draw and chat together online on a copy of this webpage or a clean
sheet. The chat may be via text or audio. Visit www.twiddla.com
to set up whiteboards to work with the webpage of your choice. |
Simple & Compound FractionsA simple fraction is given by a pair of whole or natural numbers
where N denotes the denominator and M denotes the numerator. A ratio of simple fractions is a compound fraction A in which the numerator and denominator are both decimal fractions.
In other words, the compound fraction
There is a rule in developing mathematics: Saying how to compute a quantity defines it. The latter expression may be taken as the definition of the compound fraction
We see that a compound fraction formed from a pair of fractions gives a fraction. Special Case:
That is 1 divided by a fraction equals the reciprocal of the fraction. Multiplying by the reciprocal
This is another way of saying division of a first fraction by a second fraction has the same result as multiplying the first fraction by the reciprocal of the second. The case where A and B are decimal fractions will appear below.
Division of One Fraction by AnotherThe question find a number or fraction T such that
has a unique solution
Check:
Exercise: Explain why the solution is unique. See the discussion of division in the fraction section of this site. The solution T above Here
is the fractional number of times that the denominator E goes into the numerator C of the compound fraction
Note: Compound fractions of the form M/N where M and N are real numbers will be treated later. |
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