Question

If the product of two rational numbers is (-9/16) and one of them is (-4/15) , find the other number​

Answer 1

Answer: 135/64

Step-by-step explanation: Since, we don’t know the value of other number, let us assume it as ‘b’. According to the question,

→ -4/15 × b = -9/16

→ b = -9/16 × 15/-4

→ b = -135 / -64

→ b = 135 / 64

Hence, the other rational number is 135 / 64.

Answer 2

Given:

The product of two rational numbers is $-\frac{9}{16}$

One of the is $-\frac{4}{15}$

To find:

The another rational number.

Solution:

The product of two rational numbers is $-\frac{9}{16}$

Let, 'a' and 'b' be the two rational numbers.

a × b = $-\frac{9}{16}$

One of the rational number is $-\frac{4}{15}$

a = $-\frac{4}{15}$

$-\frac{4}{15}$ × b = $-\frac{9}{16}$

b = $-\frac{9}{16}$ ×  $-\frac{15}{4}$

b = $\frac{135}{64}$

Therefore,

The other number is $\frac{135}{64}$

Final answer:

The another rational number is $\frac{135}{64}$