Question

Which fraction equivalent to one makes this statement true?

6/9 ÷ ?? = 2/3

(1 point)
Responses

11
1 over 1

22
2 halves

33
3 thirds

44
4 fourths

Answer 1

To solve the equation \( \frac{6}{9} \div ?? = \frac{2}{3} \), we can rewrite the division as multiplication by the reciprocal:

\[
\frac{6}{9} \times \frac{1}{??} = \frac{2}{3}
\]

Next, we can simplify \( \frac{6}{9} \):

\[
\frac{6}{9} = \frac{2}{3}
\]

Now, we can substitute this back into the equation:

\[
\frac{2}{3} \times \frac{1}{??} = \frac{2}{3}
\]

To find \( ?? \), we need to multiply both sides by \( ?? \):

\[
\frac{2}{3} = \frac{2}{3} \times ?? \implies ?? = 1
\]

Since \( 1 \) is equivalent to \( \frac{1}{1} \).

Among the responses provided, the fraction equivalent to one is:

**1 over 1.**