What is the multiplicative inverse of -13/19?

What is the multiplicative inverse of $- \frac{13}{19}$ ?

easy MCQ 1 mark Class 8 · Mathematics · Rational Numbers

$- \frac{19}{13}$
$\frac{19}{13}$
$\frac{13}{19}$
$1$

Answer

- \frac{19}{13}

The correct answer is $- \frac{19}{13}$ — Step 3: Solve for $x$ by multiplying both sides by $- \frac{19}{13}$ , which gives $x = - \frac{19}{13}$ .

Step-by-step solution

Step 1: Recall that the multiplicative inverse (or reciprocal) of a non-zero rational number $\frac{a}{b}$ is $\frac{b}{a}$ , such that their product equals $1$ .
Step 2: Set up the equation $- \frac{13}{19} \times x = 1$ , where $x$ is the multiplicative inverse.
Step 3: Solve for $x$ by multiplying both sides by $- \frac{19}{13}$ , which gives $x = - \frac{19}{13}$ .

Common mistake: Students often change the sign of the number when taking its reciprocal, confusing multiplicative inverse with additive inverse.

Concept tested: Multiplicative Inverse of Rational Numbers

Published 20 August 2026 · How this solution was prepared and checked

What is the multiplicative inverse of −1913​?

Step-by-step solution

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What is the multiplicative inverse of $- \frac{13}{19}$ ?