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Rohit thinks of a rational number. He adds $\frac{1}{2}$ , then multiplies the result by $\frac{2}{3}$ , and gets 1.
What number did Rohit think of?

Class 7Operations on Rational NumbersRational Numbers

A1
B $\frac{3}{2}$
C $\frac{1}{2}$
D $\frac{2}{3}$

Step-by-Step Solution

Let the number be

n . (n + \frac{1}{2}) \times \frac{2}{3} = 1

, so

n + \frac{1}{2} = \frac{3}{2}

, giving

n = \frac{3}{2} - \frac{1}{2} = 1

.

Answer: A) 1

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