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 ____________.

  1. 11 over 80
  2. 12 over 50
  3. 13 over 60
  4. 14 over 70

hintHint:

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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