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The length of a kitchen wall is 24 2/3 feet long . a border will be placed along the wall of kitchen. if the border comes in strips that are each 1 3/4 feet long, how many strips of border are needed? please show work.

Verified Answer :

You would need 15 boards bc 24.6666 divided by 1.75 is 14.09 and I got those decimal numbers from finding the decimal number of the 24 and 3/4 and the 1 and 3/4

Answer:

15 strips.

Step-by-step explanation:

The length of a kitchen wall = \(24\frac{2}{3}\) feet

                                               = \(\frac{74}{3}\) feet

A border will be placed along the wall of the kitchen.

The lenth of the border in strips =  \(1\frac{3}{4}\) feet = \(\frac{7}{4}\)

Therefore to find the number of strips of border are needed

= \(\frac{74}{3}\) ÷ \(\frac{7}{4}\)

= \(\frac{74}{3}\) × \(\frac{4}{7}\)

= \(\frac{296}{21}\)

= \(14\frac{2}{21}\)

≈  15 strips

15 strips of border are needed.