Question

By what rational number should we multiply 5/12
so that the product is -2/9.​

Answer 1

Step-by-step explanation:

Let the number be x

∴ When we multiply x from 3/-14 or -3/14 the product is 5/12

-3/14 × x = 5/12

⇒ x = 5/12 ÷ -3/14

⇒ x = 5/12 × -14/3

⇒ x = -70/36

⇒ x = -35/18

∴The number is -35/18.

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Answer 2

Answer:

-24/45

Given:

Let the number be x

Product of rational numbers =-2/9

One number =5/12

Solution:

$\frac{5}{12} \times x = \frac{ - 2}{9}$

$x = \frac{ - 2}{9} \times \frac{12}{5}$

$x = \frac{ - 24}{45}$

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