The correct option is A 2/3To divide 1/4 by 3/8, we multiply 1/4 by the reciprocal of 3/8, which is 8/3. Therefore, 1/4÷3/8 = 1/4× nbsp;8/3=8/12=2/3. ...

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Byju's Answer

Standard V

Mathematics

Division of Fractions

1/4÷3/8=2/33/...

Question

$\frac{1}{4} \div \frac{3}{8}$ =

\frac{2}{3}

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\frac{3}{4}

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\frac{1}{8}

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\frac{1}{3}

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Solution

The correct option is A $\frac{2}{3}$
To divide $\frac{1}{4}$ by $\frac{3}{8}$ ,
we multiply $\frac{1}{4}$ by the reciprocal of $\frac{3}{8}$ , which is $\frac{8}{3}$ .
Therefore, $\frac{1}{4} \div \frac{3}{8} = \frac{1}{4} \times \frac{8}{3} = \frac{8}{12} = \frac{2}{3}$ .

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Similar questions

Q. Evaluate:
(i) (64)^−1/2
(ii) (8)^−1/3
(iii) (81)^−1/4

Find the G.P. if

(a) T₃ : T₆ = 1 : 8 and T₅ = 64

(b) T₄ : T8 = 1 : 81 and T₆ = 486

(d) S₈ : S₄ = 97 : 81 and T₅ = 16

Solve:
$4 \frac{1}{8} - 8 \frac{1}{3}$

Solve:

4 \frac{1}{2} \times 4 \frac{1}{3} - 8 \frac{1}{3} \div 5 \frac{2}{3} = ? .

Q. The value of

\frac{2 + 3 i}{4 + 5 i}

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14÷38=

The correct option is A 23To divide 14 by 38, we multiply 14 by the reciprocal of 38, which is 83. Therefore, 14÷38=14×83=812=23.

$\frac{1}{4} \div \frac{3}{8}$ =

The correct option is A $\frac{2}{3}$
To divide $\frac{1}{4}$ by $\frac{3}{8}$ ,
we multiply $\frac{1}{4}$ by the reciprocal of $\frac{3}{8}$ , which is $\frac{8}{3}$ .
Therefore, $\frac{1}{4} \div \frac{3}{8} = \frac{1}{4} \times \frac{8}{3} = \frac{8}{12} = \frac{2}{3}$ .