Question

how can you find the number of \\( \frac { 2 } { 3 } \\) s in 6?
step 1: multiply 6 by 3 to find the number of thirds in 6.
step 2: divide by 2 to find the number of groups of 2 thirds.
which expression means to multiply 6 by 3, then divide by 2?
\\( 6 \div \frac { 2 } { 3 } = 6 \times \\) ?

Explanation:

Step1: Recall the rule for dividing by a fraction

When dividing by a fraction \(a/b\), we multiply by its reciprocal \(b/a\).

Step2: Apply the rule to \(6\div\frac{2}{3}\)

For \(6\div\frac{2}{3}\), the reciprocal of \(\frac{2}{3}\) is \(\frac{3}{2}\). So \(6\div\frac{2}{3}=6\times\frac{3}{2}\)

Answer:

\(\frac{3}{2}\)