Question

Antonio has 2 2/3 of a piece of wood that he wants to cut into 4 pieces. How long should he cut each piece?

A 8 2/3
B 10 2/3
C 8/3
D 2/3

Answer 1

To find the measure of each piece, divide the total piece of wood (2 2/3) by the number of pieces Antonio wants to cut (4).

From the following, we obtained:

`\rightarrow 2 (2)/(3) / 4`

Convert 2 2/3 into an improper fraction:

`\rightarrow 2 (2)/(3) / 4`

`\rightarrow (2 * 3 + 2)/(3) / 4\\`

`\rightarrow (6 + 2)/(3) / 4\\`

`\rightarrow (8)/(3) / 4\\`

Simplifying the expression:

`\rightarrow (8)/(3) / 4\\`

`\rightarrow (8)/(3) * (1)/(4) \\`

`\rightarrow (8)/(3 * 4)`

`\rightarrow (8)/(12) = \boxed{(2)/(3)}`

Thus, Antonio should cut 2/3 of wood for each piece.

Answer 2

D 2/3

Step-by-step explanation:

`\bold{total \ length \ / \ number \ of \ pieces }`

solve

`\sf 2(2)/(3) / 4`

reciprocal to change signs

`\sf (8)/(3) \ * \ (1)/(4)`

simplify

`\sf (2)/(3)`