Question

what rational number should be added to -4/11 to get -3/8?​

Answer 1

Answer:

-4/11-(-3/8)

= -4/11+3/8

= -4 x 8 + 3 x 11 /88

= -24+33/88

= 9/88

The number is 9/88

Answer 2

EXPLANATION:

Let the other rational number be x.

According to the question, it says that when - 4/11 is added to a rational number, we get the result as - 3/8. This implies that:

⇒ - 4/11 + Rational number = - 3/8

Since we are assuming the rational number as x,

⇒ - 4/11 + x = - 3/8

⇒ x = - 3/8 + 4/11

On taking LCM, we get:

⇒ x = (- 3 × 11 + 4 × 8) / 88

⇒ x = - 33 + 32 / 8

⇒ x = - 1/88

Hence, the rational number is - 1/88.

MORE INFORMATION:

Let us see the general format to find the rational number.

⇒ Rational number = Result - One number

For example, what rational number should be added to a to get b? Then our answer would be:

⇒ Rational number = b - a