An organic farmer buys a piece of land seed plants tomatoes on 5/9 of the land and green beans on 1/12 of the of the land she plants potatoes on the remaining piece of land what fraction of the land does she plant with patatoes
Answers
The organic farmer will have 13/36 part of the land for planting potatoes.
What is a fraction?
A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Assuming the total land to be 1.
∴ The remaining land after planting tomatoes is (1 - 5/9) = 4/9.
The remaining land after planting green beans is (4/9 - 1/12) = (16 - 3)/36.
= 13/36 and it is the remaining land he can plant potatoes.
learn more about fractions here :
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remaining=1-used
used=tomatoes+beens
used=5/9+1/12
5/9 times 12/12=60/108
1/12 times 9/9=9/108
used=60/108+9/108
used=69/108
used=23/36
1-23/36=
36/36-23/36=
13/36
answer is 13/36
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