Answer:
Distributive property for the given expression is
![0.4(0.3m+0.6n)=0.12m+0.24n](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sd3lrww1iws2izfwnwq7pvzsqgcsh2jn8g.png)
Explanation:
Distributive property:
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
![A(B+C)=A* B + A* C](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kmzr6cl0vfb1ehqgh4fc2umg3qi1z990i3.png)
For example 2(x+y)=2x+2y
Therefore,
![0.4(0.3m+0.6n)=0.4* 0.3m+0.4* 0.6n=0.12m+0.24n](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lvj54g6ipm5jmxesww8xeye34nf927dqsb.png)
Therefore,
![0.4(0.3m+0.6n)=0.12m+0.24n](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sd3lrww1iws2izfwnwq7pvzsqgcsh2jn8g.png)