Respuesta :

Division is all about equal sharing. This problem is about dividing one fraction by another.

[tex] \frac{4}{6} [/tex]
yards of rope has been divided equally in to
[tex] \frac{1}{12} [/tex]
yards pieces. Expressing this with the division symbol gives;

[tex] \frac{4}{6} \div \frac{1}{12} [/tex]

We now multiply the first fraction by the reciprocal of
[tex] \frac{1}{12} [/tex]

This implies that

[tex] \frac{4}{6} \times \frac{12}{1} [/tex]

This gives us,

[tex] \frac{4}{1} \times \frac{2}{1} = 8[/tex]
Hence Dario will have 8 equal pieces of rope.

Answer: Dario has 8 pieces of rope.

Step-by-step explanation:

Hi, to solve this problem we have to divide the length of the rope (4/6 yards ) by the length of the pieces ( 1/12 yards ).

So:

[tex]\frac{4}{6}\div \frac{1 }{12} \\[/tex]

Inverting the second part, we can multiply:

[tex]\frac{4}{6} \times \frac{12}{1} = \frac{48}{6}[/tex]

Now simplifyng by 6

8/1.

Dario has 8 pieces of rope

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