Note: Reciprocal of a is 1/a Since, Reciprocal of 3/4is4/3So,2/3×reciprocalof3/4=2/3×4/3We can also write 2/3×4/3=2/3÷3/4Hence, 2/3×reciprocalof3/4=2/3÷3/4 ...

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Byju's Answer

Standard VIII

Mathematics

Multiplication and Division of Rational Numbers

2/3×reciproca...

Question

$\frac{2}{3} \times reciprocal of \frac{3}{4} =____$

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Solution

Note: Reciprocal of $a$ is $\frac{1}{a}$
Since, Reciprocal of $\frac{3}{4} is \frac{4}{3}$
So, $\frac{2}{3} \times reciprocal of \frac{3}{4}$ $= \frac{2}{3} \times \frac{4}{3}$
We can also write-
$\frac{2}{3} \times \frac{4}{3}$ $= \frac{2}{3} \div \frac{3}{4}$
Hence, $\frac{2}{3} \times reciprocal of \frac{3}{4} = \frac{2}{3} \div \frac{3}{4}$

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Similar questions

Compare the given fraction and replace $' □'$ by an appropriate sign $' < or >'$

$\frac{2}{7} □ \frac{2}{5}$

Q. If

4 x \leq - 3

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(- 3) \times (- 3)

.
If

- 3 x > 4

, then

(- 3 x) \times (4)

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Look at the pattern and fill in the blanks:

$4 = 3 \times 1 + 1$ , For $1^{st}$ term or $n = 1$

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$13 = 3 \times 4 + 1$ , For $4^{th}$ term or $n = 4$

$16 = 3 \times 5 + 1$ , For $5^{th}$ term or $n = 5$

$∴$ Expression for $n^{th}$ term is $3 n + 1$

(iii) For $n = 30$ , $3 \times____+ 1 =____$ .

Write $=$ or $\neq$ in the place holder.
$\frac{1}{8}$ $□$ $\frac{3}{4}$

Q. throw a dice 3times what is the probability that we have three 6.

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23×reciprocalof34=____

Note: Reciprocal of a is 1a Since, Reciprocal of 34is43So,23×reciprocalof34=23×43We can also write-23×43=23÷34Hence, 23×reciprocalof34=23÷34

$\frac{2}{3} \times reciprocal of \frac{3}{4} =____$