The product of two rational numbers is -28/81 if one number is 14/ 27 find the other

the other is (-28/81) ÷ (14/27)

= (-28/81)(27/14)
= -2/3

To find the other rational number, let's call it "x".

We know that the product of two rational numbers is -28/81, and one of the numbers is 14/27.

First, let's set up an equation using the multiplication property of equality:

(14/27) * x = -28/81

To solve this equation, we need to isolate the variable "x".

We can do this by multiplying both sides of the equation by the reciprocal of 14/27, which is 27/14.
Remember, when you multiply a fraction by its reciprocal, the result is 1.

So, multiplying both sides by 27/14 gives us:

(14/27) * x * (27/14) = (-28/81) * (27/14)

Simplifying both sides gives us:

x = (-28 * 27) / (81 * 14)

Now, we can simplify the right side of the equation:

x = -756 / 1134

We can further simplify this fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 126. Dividing both the numerator and denominator by 126 gives us:

x = -6/9

Simplifying the fraction by dividing both the numerator and denominator by 3 gives us the final answer:

x = -2/3

Therefore, the other rational number, when one number is 14/27 and their product is -28/81, is -2/3.

The product of two rational number is -4/5 if one of them is -8/9 .find the other

The product of two rational number is -29/81 × 14/27

The answer is 2/3

X×-9/7=-4/3

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