Question

Which number should be subtracted from \(\frac{16}{15}\) to get \((\frac{-16}{15})\)?

(a) \(\frac{31}{15}\)

(b) \(\frac{32}{15}\)

(c) \(\frac{-32}{15}\)

(d) 0

I had been asked this question by my college professor while I was bunking the class.

Query is from Properties of Rational Numbers in division Rational Numbers of Mathematics – Class 8

Answer 1

Right choice is (b) \(\frac{32}{15}\)

The best I can explain: Using the properties of addition and subtraction we can solve this problem.

\(\frac{16}{15} – x = \frac{-16}{15}\)

Therefore \(\frac{16}{15} + \frac{16}{15}\) = x

Therefore x = \(\frac{32}{15}\)

Option \(\frac{-32}{15}\) cannot be the correct answer, as the question itself asks to subtract the number in order to obtain \(\frac{-16}{15}\).