Question

write the following division problem using two other symbols.
\\(\

$$\begin{array}{r}6 \\\\ 5\\overline{)30}\\\\ \\end{array}$$

\\)

choose the correct answer below.
\\(\bigcirc\\) a. \\(6\div30 = 5\\) or \\(\frac{6}{30}=5\\)
\\(\bigcirc\\) b. \\(30\div6 = 5\\) or \\(\frac{30}{6}=5\\)
\\(\bigcirc\\) c. \\(5\div6 = 30\\) or \\(\frac{5}{6}=30\\)
\\(\bigcirc\\) d. \\(30\div5 = 6\\) or \\(\frac{30}{5}=6\\)

Explanation:

The division problem \(

$$\begin{array}{r}6\\ 5\enclose{longdiv}{30}\end{array}$$

\) means 30 divided by 5 equals 6. We check each option:

• Option A: \( 6\div30 = 5 \) is incorrect as \( 6\div30 = 0.2

eq5 \), and \( \frac{6}{30}=0.2
eq5 \).

• Option B: \( 30\div6 = 5 \), but the original problem is 30 divided by 5, not 30 divided by 6, so this is incorrect.
• Option C: \( 5\div6 = 30 \) is incorrect as \( 5\div6\approx0.83

eq30 \), and \( \frac{5}{6}\approx0.83
eq30 \).

• Option D: \( 30\div5 = 6 \) and \( \frac{30}{5}=6 \) both represent 30 divided by 5 equals 6, which matches the original division problem.

Answer:

D. \( 30\div5 = 6 \) or \( \frac{30}{5}=6 \)