Fraction question: 2/3 of a plot of land is garden. 1/5 of the garden in lawn....

[lilred]

1) 2/3 of a plot of land is garden. 1/5 of the garden in lawn. Find the fraction of the plot of land which is lawn.
I thought it would be 1/5 / 2/3 because it's 1 fifth of a 2/3 plot of land which in the end would be 1/5÷2/3 = 1/5 × 3/2 = 3/10
But the answer at the end of the book is 2/15 so it must be 1/5 × 2/3. Help me understand why?


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[Deleted member 4993]

1) 2/3 of a plot of land is garden. 1/5 of the garden in lawn. Find the fraction of the plot of land which is lawn.
I thought it would be 1/5 / 2/3 because it's 1 fifth of a 2/3 plot of land which in the end would be 1/5÷2/3 = 1/5 × 3/2 = 3/10
But the answer at the end of the book is 2/15 so it must be 1/5 × 2/3. Help me understand why?


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Suppose the plot area is 15 acres. Then:

the area of garden is 2/3 OF 15 = 10 acres

the area of lawn is 1/5 OF (garden) 10 = 2 acres

 

[lilred]

How would you get to that result mathematically, calculating, without knowing the answer beforehand

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[stapel]

How would you get to that result mathematically, calculating, without knowing the answer beforehand

Um... you'd do the arithmetic, like the previous poster showed. In particular, you'd do the multiplication which the poster was highlighting: (this) "is" (some amount) "of" (that) means that you multiply (some amount) and (that).

Granted, in this case, they're both fractions, but the process is the same.

 

[Muhammad Maaz Motiwala]

1) 2/3 of a plot of land is garden. 1/5 of the garden in lawn. Find the fraction of the plot of land which is lawn.
I thought it would be 1/5 / 2/3 because it's 1 fifth of a 2/3 plot of land which in the end would be 1/5÷2/3 = 1/5 × 3/2 = 3/10
But the answer at the end of the book is 2/15 so it must be 1/5 × 2/3. Help me understand why?


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Bro the thing is this question is somewhat related to probability
the same we have to do in this 1/5 OF 2/3 means 1/5 * 2/3

 

[Deleted member 4993]

Bro the thing is this question is somewhat related to probability
the same we have to do in this 1/5 OF 2/3 means 1/5 * 2/3

Why are you replying to a thread that has been inactive for 4+ years?

And

No - this question is NOT related to probability!