Question

What should be added to twice the rational number \(\frac{13}{3}\) to get \(\frac{13}{6}\)?

(a) \(\frac{-13}{4}\)

(b) \(\frac{-13}{2}\)

(c) \(\frac{13}{2}\)

(d) \(\frac{13}{4}\)

This question was addressed to me by my college director while I was bunking the class.

Question is from Applications of Linear Equation (Just Solving the Equations) in chapter Linear Equations in One Variable of Mathematics – Class 8

Answer 1

Correct choice is (b) \(\frac{-13}{2}\)

Best explanation: Twice the rational number is (2) × \(\frac{13}{3} = \frac{26}{3}\)

Let x be added to \(\frac{26}{3}\),

x + \(\frac{26}{3} = \frac{13}{6}\)

x = \(\frac{13}{6} – \frac{26}{3}\)

x = \(\frac{13}{6} – \frac{52}{6}\)

x = \(\frac{-39}{6}\)

x = \(\frac{-13}{2}\).