Question

A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12. What is the number?

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Answer 1

Let the rational be ‘n’.

According to the given details the equation becomes

n × (5/2) + 2/3 = -7/12

5(n/2) + 2/3 = -7/12

5(n/2) = -7/12 – 2/3

5(n/2) = (-7- 8)/12

5(n/2) = -15/12

5n/2 = -5/4

n = (-5/4) × (2/5)

n = – 10/20

n = -1/2

Answer

Therefore, the rational number will be -1/2.

Answer 2

Answer:

$\large \mathfrak\orange{Given}$

• A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12.

$\large \mathfrak\orange{ To \: Find}$

• The number.

$\large \mathfrak\orange{Solution}$

Let the rational be x.

According to the question:

→ x × (5/2) + 2/3 = -7/12

⇒ 5x/2 + 2/3 = -7/12

⇒ 5x/2 = -7/12 – 2/3

⇒ 5x/2 = (-7- 8)/12

⇒ 5x/2 = -15/12

⇒ 5x/2 = -5/4

⇒ x = (-5/4) × (2/5)

⇒ x = – 10/20

⇒ x = -½

Therefore, the rational number is -½.

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