Mathematics: Apicture framer has a board 10 1/12 feet long. the framer notices that 2 3/8 feet of the board is scratched and cannot be used. the rest of the board will be used to make small picture frames. each picture frame needs 1 2/3 feet of the board. at most,how many complete picture frames can be made?

11.6666666667 this is the answer...

Apicture framer has a board 10 1/12 feet long. the

Shaynele

30.12.2021

There are atmost 4 picture frames can be made.

Step-by-step explanation:

Since we have given that

Length of board is given by

$10\frac{1}{12}\text{ feet}$

Length of board is scratched and cannot be used is given by

$2\frac{3}{8}\text{ feet}$

Rest of board will be used to make small picture frames is given by

$\frac{121}{12}-\frac{19}{8}\\\\=\frac{242-57}{24}\\\\=\frac{185}{24}\text{ feet}$

Length of board needed for each picture frame is given by

$1\frac{2}{3}=\frac{5}{3}\text{ feet}$

So, Number of complete picture frames can be made is given by

$\frac{\frac{185}{24}}{\frac{5}{3}}\\\\=\frac{185\times 3}{24\times 5}\\\\=\frac{37}{8}\\\\=4.65$

∴ There are atmost 4 picture frames can be made.

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