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Signs for science project displays are cut from pieces of poster board that measure 1 yard on each side. Each sign is LaTeX: \frac{1}{3}1 3 yard long and LaTeX: \frac{1}{9}1 9 yard wide. How many signs can be cut from 1 poster board? Group of answer choices

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Answer:

27

Step-by-step explanation:

Given that :

Dimension of poster board = 1 yd by 1 yd

Dimension of each poster sign = 1/3 yd by 1/9 yd

Number of poster signs that can be cut :

Area of poster sign = 1/3 * 1/9 = 1/27 yard²

Area of poster board = 1 yard²

Number of poster signs that can be cut :

Area of poster board / area of poster sign

1 yard² ÷ (1/27) yard²

1 ÷ 1/27

1 * 27/1

= 27 poster signs

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