Question

Step 1: Rename the fraction as a whole number times a unit fraction.

54 ×
2
3
= 54 ×
(
​
×
​
​
)

Answer 1

To express the fraction \(\frac{2}{3}\) as a whole number times a unit fraction, we first need to rewrite it in this form.

The unit fraction that corresponds to \(\frac{2}{3}\) can be represented as:

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

Now we can rewrite the equation:

\[
54 \times \frac{2}{3} = 54 \times \left( 2 \times \frac{1}{3} \right)
\]

Now, we can simplify it:

\[
54 \times \frac{2}{3} = (54 \times 2) \times \frac{1}{3}
\]

This means:

\[
54 \times \frac{2}{3} = 108 \times \frac{1}{3}
\]

So, in the format you wanted:

\[
54 \times \frac{2}{3} = 54 \times \left( 2 \times \frac{1}{3} \right)
\]
or equivalently:
\[
54 \times \frac{2}{3} = 108 \times \frac{1}{3}
\]