Question

Use the distributive property to rewrite each expression in its equivalent form

0.4(0.3m + 0.6)/1.2

Answer 1

The expression 0.4(0.3m + 0.6)/1.2 simplifies to (0.1m) + 0.2 when using the distributive property and canceling equivalent terms.

Step-by-step explanation:

To use the distributive property to rewrite the expression 0.4(0.3m + 0.6)/1.2, we need to distribute 0.4 into both terms in the parentheses and then simplify the resulting expression by dividing by 1.2.

First, let's multiply 0.4 by 0.3m and 0.6:

0.4 × 0.3m = 0.12m
0.4 × 0.6 = 0.24

So now we have:

0.12m + 0.24

Next, we'll divide each term by 1.2:

(0.12m)/1.2 = 0.1m
(0.24)/1.2 = 0.2

After simplification, our expression becomes:

(0.1m) + 0.2.