a board that is 2 5/8 feet long is cut from a larger board that is 7 1/3 feet long. How much of the board remains?

Mathematics

1 answer:

Rus_ich [418]3 years ago

6 0

Answer:

$4\frac{17}{24}$ feet

Step-by-step explanation:

Total length of the board = $7\frac{1}{3}=\frac{22}{3}$ feet

Length of board that is removed from the larger board = $2\frac{5}{8}=\frac{21}{8}$

When a smaller board is removed, the length of the remaining board can be calculated using subtraction as:

Remaining Length of board = Total Length - Length of smaller board

= $\frac{22}{3}-\frac{21}{8}\\\\\text{Taking LCM, which is 24}\\\\ =\frac{8(22)-3(21)}{24}\\\\ =\frac{113}{24}\\\\ =4\frac{17}{24}$

This means $4\frac{17}{24}$ feet of board remains after removing the smaller board from it.

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