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Mathematics

Grade-7

Easy

Question

Henry has $1 fourth$ acre of land. He plans to grow strawberries in $1 over 20$ acre of land and tomatoes in $1 over 16$ acre. The fraction of land he is left with is ____________.

$\frac{11}{80}$
$\frac{12}{50}$
$\frac{13}{60}$
$\frac{14}{70}$

hint Hint:

To find out the fraction of land left we will add the land occupied by strawberries and tomatoes and substract it from the total area of land.

The correct answer is: $11 over 80$

STEP BY STEP SOLUTION
Total land = $1 fourth a c r e$
He plants strawberries = $1 over 20 a c r e$
He plants tomatoes = $1 over 16 a c r e space$
To find the fraction of land left we will subrastract the land occupied by strawberries and tomatoes from the total land
FRACTION OF LAND LEFT = TOTAL LAND - ( LAND OCCUPIED BY STRAWBERRIES + LAND OCCUPIED BY TOMATOES)
$1 fourth space minus space open parentheses 1 over 20 space plus space 1 over 16 close parentheses space equals space 1 fourth space minus space open parentheses fraction numerator 4 space plus space 5 over denominator 80 end fraction close parentheses space equals space fraction numerator 1 over denominator 4 space end fraction space minus space 9 over 80 space equals space fraction numerator 20 space minus space 9 over denominator 80 end fraction space equals space 11 over 80$
The fraction of land left = $11 over 80 a c r e s$

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