A farmer grows vegetable in his field- In 23 of the field- he grows potatoes- in 14 he grows onions and in the rest of the field he grows tomatoes- In what part of the field does he grow tomatoes-

The correct option is A 112 Part of field in which potatoes are grown = 23 #160;Part of field in which onions are grown = 14 #160; ⇒ ...

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Byju's Answer

Standard VI

Mathematics

Multiplication of Fractions

A farmer grow...

Question

A farmer grows vegetable in his field. In $\frac{2}{3}$ of the field, he grows potatoes, in $\frac{1}{4}$ he grows onions and in the rest of the field he grows tomatoes. In what part of the field does he grow tomatoes?

\frac{1}{12}

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\frac{11}{12}

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\frac{3}{4}

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\frac{1}{6}

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Solution

The correct option is A $\frac{1}{12}$
Part of field in which potatoes are grown $= \frac{2}{3}$

Part of field in which onions are grown $= \frac{1}{4}$

$\Rightarrow$ Total part of field covered by potatoes and onions $= \frac{2}{3} + \frac{1}{4} = \frac{11}{12}$

$∴$ Remaining part of field in which tomatoes are grown $= 1 - \frac{11}{12} = \frac{1}{12}$

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A farmer grows vegetable in his field. In 23 of the field, he grows potatoes, in 14 he grows onions and in the rest of the field he grows tomatoes. In what part of the field does he grow tomatoes?

The correct option is A 112Part of field in which potatoes are grown =23 Part of field in which onions are grown =14 ⇒ Total part of field covered by potatoes and onions =23+14=1112∴ Remaining part of field in which tomatoes are grown =1−1112=112

A farmer grows vegetable in his field. In $\frac{2}{3}$ of the field, he grows potatoes, in $\frac{1}{4}$ he grows onions and in the rest of the field he grows tomatoes. In what part of the field does he grow tomatoes?