Question

The product of two rational numbers is-7 if one of the number is 11/3 find the other

Answer 1

Answer:

-21/11

Step-by-step explanation:

Given that,

Product of two rational numbers is -7.

Also, one of them is 11/3.

To find the other.

Let the required rational number be x.

Therefore, we have,

=> 11x/3 = -7

=> 11x = -7 × 3

=> 11x = -21

=> x = -21/11

Hence, required rational number is -21/11.

• Any number in the form of p/q, where p and q are integers and q≠0, are called rational numbers.
• For example, -2, 0.7, 1/8,etc.

Answer 2

✎Given,

The product of two rational numbers is-7

AND,

One of the number is 11/3

So,

Let the other required number be x.

✎According to the Question,

$\implies \: x \times (the \: other \: number) = - 7 \\ \implies \: x \times \frac{11}{3} = - 7 \\ \implies \frac{11x}{3} = - 7$

This is a linear equation in terms of x.

Cross-multiplying the above linear equation,

we get,

$\implies \: x = \frac{( - 7 \times 3)}{11 } \\ \implies \: x = - \frac{21}{11}$

✎PROOF:-

According to the Question,

$\implies x \times \frac{11}{3} = \frac{11x}{3}$

Putting x = -21/11 ,we get,

$\implies \: \frac{11}{3} \times x \\ \implies \frac{11}{3} \times ( - \frac{21}{11} ) \\ \implies \: - \frac{21}{3} \\ \implies - 7 = RHS$

HENCE PROVED!!