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4 years ago

8

A board 15(3/4) inches long is cut from a board that is 3 feet long. if the width of the saw cut is (1/8) inch, what is the leng

th of the remaining piece?

1 answer:

Dima020 [189]4 years ago

4 0

1 ft. 81/4 inches remaining

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Use the fact that 2 1/2 divide 1/8 =20 to find 2 1/2 divide 5/8

Tasya [4]

Answer:

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Step-by-step explanation:

Given that $2\frac 1 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \times 8 1 =20 \cdots(i)$

Now, $2\frac 1 2 \div \frac 5 8$ $= \frac 5 2 \div \frac 5 8$ $=\frac 5 2 \times \frac 8 5$

This can be written as

$\frac 5 2 \times \frac 8 5=\frac 5 2 \times \left( \frac 8 1 \times \frac 1 5\right)$ [as $\frac 8 5=\frac 8 1 \times \frac 1 5$ ]

$=\left(\frac 5 2 \times \frac 8 1 \right)\times \frac 1 5$

$=20 \times \frac 1 5$ [ by using equation (i)]

=4

Hence, $2\frac 1 2 \div \frac 5 8=4$

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