Question

$\left(\begin{array}{c}\frac{-9}{13}\times \frac{5}{6}\end{array}\right)-\left(\begin{array}{c}\frac{-9}{13}\times \frac{4}{6}\end{array}\right)=\frac{-9}{13}\times \left(\begin{array}{c}\frac{5}{6}-\frac{4}{6}\end{array}\right)$.
If true then enter $1$ and if false then enter $0$

Answer 1

Multiplication is distributive over substraction of two rational number.

$A(B+C)=AB+AC$

$\left(\begin{array}{c}\frac{-9}{13}\times \frac{5}{6}\end{array}\right)-\left(\begin{array}{c}\frac{-9}{13}\times \frac{4}{6}\end{array}\right)=\frac{-9}{13}\times \left(\begin{array}{c}\frac{5}{6}-\frac{4}{6}\end{array}\right)$