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- equations
can be written either 'up and down' like all these questions are, or 'side
by side'. Because we read in English from left to right, sometimes it is
easier to read math from left to right as well. Whenever you see a worksheet
with math sentences written 'up and down', you could probably do the figuring
in your head rather than on paper.
- you can add whole numbers
with whole numbers, and add fractions with fractions as long as those fractions
share a common denominator - in this case '5'.
- I used to mis-spell 'denominator'
as 'demoninator' because a demon, or devil always lives below... |
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- if two fractions
share a common denominator, and addition needs to be performed, you can
re-write the equation using a math 'contraction'.
- This only works for addition
and subtraction. |
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- do the addition within
the numerator. There are un-written, or assumed brackets around the 4 and
3.
- in order for a fraction
to be a fraction, the numerator is always smaller than the denominator.
A real fraction is always less than 1 but bigger than 0. Our answer needs
adjusting or, as you will hear a lot in the future, 'reducing' or 'simplifying'. |
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- if we can make math contractions,
we can also expand those contractions. - We know that anything divided
by itself is equal to 1 (one). Always. This is a math truth or rule. Count
on it. Remember it.
- if a 'whole' (or one)
is five parts out of five, then in this example there are 2 parts left
over. |
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- add whole numbers with
whole numbers |
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- this answer can be simplified
one more time (just another math contraction) Remove the addition sign
for your final, final answer |
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