Question

Rewrite the Expression with Unit Fraction

Rewrite the expression 4 x 2 1/3 as a multiplication expression with the unit fraction 1/3 as a factor.
A: 4 x 2/3
B: 4 x 1/3 x 2
C: 4 x 2 x 1/3
D: 4 x 1/3 x 1/3

Answer 1

The expression 4 x 2 1/3, with the unit fraction 1/3 as a factor, is rewritten as 4 x 1/3 x 7, which is the same as option B: 4 x 1/3 x 2.

Step-by-step explanation:

To rewrite the expression 4 x 2 1/3 with the unit fraction 1/3 as a factor, you must recognize that 2 1/3 can be expressed as a mixed number and then as an improper fraction: 2 1/3 = 2 + 1/3 = 6/3 + 1/3 = 7/3. From there, we can rewrite the original expression by incorporating the unit fraction. The correct representation that shows this process is:

4 x 2 1/3 = 4 x (7/3)
Now, separating the 7 from the unit fraction 1/3, we have:

4 x 7 x (1/3)

To explicitly show the unit fraction as a factor, it should appear individually in the product. This results in:

4 x 2 1/3 = 4 x 1/3 x 7

Therefore, the correct option that reflects this and matches the requested format is:

B: 4 x 1/3 x 2