Question

Given the sum 30=12+18, rewrite 12+18using their GCF and multiplication
6 (__)

Answer 1

To express the sum \( 12 + 18 \) using their greatest common factor (GCF) and multiplication, we first need to find the GCF of the two numbers.

The GCF of \( 12 \) and \( 18 \) is \( 6 \).

Now we can rewrite \( 12 \) and \( 18 \) in terms of their GCF:

- \( 12 = 6 \times 2 \)
- \( 18 = 6 \times 3 \)

Now, we can rewrite the sum:

\[
12 + 18 = 6 \times 2 + 6 \times 3
\]

Factoring out the GCF (which is \( 6 \)) gives us:

\[
12 + 18 = 6(2 + 3)
\]

Now, simplify \( 2 + 3 \):

\[
2 + 3 = 5
\]

So we have:

\[
12 + 18 = 6 \times 5
\]

Thus, \( 12 + 18 \) can be rewritten as \( 6 (2 + 3) \) or as \( 6(5) \).

In conclusion, you can rewrite \( 12 + 18 \) as:

\[
6(5)
\]