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fayey
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TanyaBhargava
simply adding with values would give us around 1 only..
yes, it 1. so just simply add the values ​​without combining any of the three fractions... like Common denominator? I guess I over-complicated it
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Damian needs a of the wood in the shed on theffirst day and % of the remaining wood on the second day to
make a tree-house in his backyard. Given that 2⁄5 of the wood in the shed is unusable due to fungal damage what fraction of usable wood is left once he has completed the tree-house?

Answer is 11/36

but how?

Damian needs 1/4 of the wood in the shed on the first day and 2/9 of the remaining wood on the second day to make a tree-house in his backyard. Given that 2/ 5 of the wood in the shed is unusable due to fungal damage what fraction of usable wood is left once he has completed the tree-house?
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fayey
yes, it 1. so just simply add the values ​​without combining any of the three fractions... like Common denominator? I guess I over-complicated it
yes, but idk if such approximation and addition ques would come in the exam..
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Goflexshubz
Damian needs 1/4 of the wood in the shed on the first day and 2/9 of the remaining wood on the second day to make a tree-house in his backyard. Given that 2/ 5 of the wood in the shed is unusable due to fungal damage what fraction of usable wood is left once he has completed the tree-house?
solved it.. very tricky for some reason

i just hate typing all this.. so a photo:)

pls tell the difficulty level also
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there’s a slightly shorter route also
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Pure algebra will lead to a time consumption. Let’s take some assumption here.
I see a 1/4, a 2/9, and a 2/5....4*9*5 = 180.

So let’s assume the total amount of wood is 180 kgs.

Wood Damian needs on first day = (1/4) * 180 = 45 kgs
Remaining Wood = 180 - 45 = 135 kgs

Wood Damian needs on second day = (2/9) * 135 = 30 kgs

Total wood used = 45 + 30 = 75 kgs

Unusable wood = (2/5) * 180 = 72 kgs

Total Available Wood = 180 - 72 = 108 kgs
Wood used = 75 kgs
Usable Wood Left = 108 - 75 = 33 kgs

Fraction = 33 / 108 = 3 / 35
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yes i thought about taking LCM as well
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Need to re-check this as given answer is 11/36....must be some calculation error somewhere

33/108 is 11/36...LOL
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how to judge whether LCM is better or fractions in this case
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shorter method for fractions would be to calculate total wood consumed after 2 days. then from remaining subtract 2/5 of total
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TanyaBhargava
how to judge whether LCM is better or fractions in this case
LCMs always.....Like the rate-work question above...4 men 11 days.....Just take 44 units or 88 units as work. Life becomes much simpler as fractions cancel out
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that cuts down complexity
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fayey
can someone help me with this question..thx
1.
Just rationalise each fraction.
Denominator of all 3 fractions would come out to be 1.
And the numerators will cancel each other with -1+2=1 remaining in the end.
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fayey
can someone help me with this question..thx
If you rationalise each of the terms, denominator becomes 1 for all the terms. After that, it is just addition and subtraction
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fayey
can someone help me with this question..thx
This question is discussed here: which-of-the-following-is-the-value-of-416949.html
Hope this helps
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This question is discussed here: which-of-the ... 16949.html
Hope this helps
that’s very clear thank you!

TheVDR
If you rationalise each of the terms, denominator becomes 1 for all the terms. After that, it is just addition and subtraction
yea... I made a mistake while rationalising. thx
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