Question

7) By what number should 3/2 be divided to get 2/3 ?​

Answer 1

Answer:

\frac{9}{4}

4

9

Step-by-step explanation:

Let the divisor be x

we are supposed to find by what number should be \frac{3}{2}

2

3

divided to get \frac{2}{3}

3

2

So, \frac{\frac{3}{2}}{x} =\frac{2}{3}

x

2

3

=

3

2

\frac{\frac{3}{2}}{\frac{2}{3}} =x

3

2

2

3

=x

\frac{9}{4} =x

4

9

=x

Thus \frac{3}{2}

2

3

should be divided by \frac{9}{4}

4

9

to get \frac{2}{3}

3

2

Answer 2

Answer:

$\frac{9}{4}$

Step-by-step explanation:

$\frac{3}{2} \div x = \frac{2}{3} \: x \: not \: is \: equal \: to \: 0\\ \frac{3}{2} \times \frac{1}{x} = \frac{2}{3} \\ \frac{3}{2x} = \frac{2}{3} \\ 9 = 4x \\ x = \frac{9}{4}$

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