Question

an organic farm uses 3/7 of the land to grow potatoes and two fifths of the land to grow spinach the remaining land is used to grow tomato plants what fraction of the land is used to grow tomato plants

Answer 1

The organic farm uses 3/7 of the land to grow potatoes
=> 2 /5 of the land to grow spinach
=> x = the fraction of the land to grow tomato plants.
The easiest wat to get the answer is convert first the fraction to decimals
=> 3/7 = 0.43
=> 2/5 = 0.4
=> x = ???
=> 0.43 + 0.4 = 0.83
=> let the whole land = 1
=> 1 – 0.83
=> 0.17, the remaining land left for tomato plants
Convert now to fraction
=> 17/100 (Approximately)

YOu can also use this method:
=> 3/7+ 2/5 +x = ?
Find the LCM
=> 3/7 + 2/5 = 29/ 35
=> 35/35 - 29 / 35
=> 6 / 35, the remaining land