Question

A rational number is such that when you multiply it by 1/2 and add 1/2 to the product you -1/4. What is the number? ​

Answer 1

Answer:

-3/2

Step-by-step explanation:

let the rational no. be x

now ATQ,

x/2+1/2=-1/4

x+1/2=-1/4

x+1=-1/2

2x+2=-1

2x=-3

x=-3/2

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Answer 2

Answer:

Step-by-step explanation:

ANSWER:-

Let the Rational Number which needs to found is x.

Now ,First we multiply it by 1/2

x*1/2 = x/2

Adding 1/2 we get

x/2 + 1/2 = -1/4

$\frac{x+1}{2} = \frac{-1}{4}$

$x+2 = \frac{-2}{4}$      

Now the -2/4 cancels to -1/2,

$x+1 = \frac{-1}{2}$

$x = \frac{-1}{2} -1$

$x = \frac{-1-2}{2}$

$x = \frac{-3}{2}$

So, x = -3/2 is the answer.

Things to Note:-

• Whenever any number goes to either side of equal to sign:-
• Plus sign changes to minus
• Minus sign changes to plus
• Multiplication changes to Division
• Division changes to multiplication
• Numerator becomes denominator
• Denominator becomes Numerator.
• Assumption such as x needs to be taken whenever we attempt such type of questions.
• x is a constant and at last when we bring out the result, mention the constant and the result both.