Question

10. The equivalent rational number of -6/5 is _​

Answer 1

Step-by-step explanation:

The answer is most be a rational no. -12/10

Answer 2

Given:

A number= -6/5

To find:

An equivalent rational number

Solution:

An equivalent rational number of -6/5 is -12/10.

We can find the number by following the given steps-

We know that an equivalent rational number can be obtained by multiplying the numerator and denominator of the given fraction by the same number.

The fraction given= -6/5

We can multiply both the numerator and denominator of the given fraction by any natural number to obtain its equivalents.

So, we will multiply the numerator and denominator by 2, 3, and 4.

i. -6×2/5×2

= -12/10

ii. -6×3/5×3

= -18/15

iii. -6×4/5×4

= -24/20

Similarly, an infinite number of equivalent fractions can be obtained of the given number.

-12/10, -18/15, -24/20 are all equivalent rational numbers of -6/5.

Therefore, an equivalent rational number of -6/5 is -12/10.