Respuesta :

Answer:

2 pieces

Step-by-step explanation:

Given

[tex]Length = 1\frac{2}{3}m[/tex]

[tex]Pieces = \frac{3}{4}m[/tex]

Required

Calculate the number of pieces

To do this, we have to divide the length of the wood by the length of each piece.

Represent this with x

[tex]x= \frac{Length}{Pieces}[/tex]

[tex]x= 1\frac{2}{3}/\frac{3}{4}[/tex]

Convert mixed numbers to improper fraction

[tex]x= \frac{5}{3}/\frac{3}{4}[/tex]

Change division to multiplication

[tex]x= \frac{5}{3}*\frac{4}{3}[/tex]

[tex]x= \frac{20}{9}[/tex]

[tex]x = 2.22[/tex]

[tex]x = 2[/tex]