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A carpenter wants to cut a board that is 5/6 ft long into pieces that are 5/16 ft long. The carpenter will use the expression shown to calculate the number of pieces that can be cut from the board.5/6 divided by 5/16How many pieces can be cut from the board?

Respuesta :

[tex]\begin{gathered} \text{Length of the board}=\frac{5}{6}\text{ ft} \\ \text{Length of one piece }=\frac{5}{16}\text{ ft} \\ \end{gathered}[/tex]

The expression which is used to calculate the number of pieces that can be cut from the board is:

[tex]\frac{5}{6}\div\frac{5}{16}[/tex]

We solve this by changing the division sign to multiplication and taking the reciprocal of the second fraction.

Therefore:

[tex]\begin{gathered} \frac{5}{6}\div\frac{5}{16}=\frac{5}{6}\times\frac{16}{5} \\ =\frac{16}{6} \\ =2\text{ }\frac{4}{6} \\ =2\frac{2}{3}\text{ pieces} \end{gathered}[/tex]

The carpenter can cut 2 2/3 pieces from the board.

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