Mary is a construction worker and has a piece of wood that is
7/8
of a yard in length. She needs pieces of wood that are
7/16
of a yard in length.
How many of the shorter pieces of wood can Mary make from the longer piece of wood?
4
4
7
7
14
14
16
it's 14 because if you divide 78 by 1/16 you get 14 so you can make 14 out of that large piece of wood and (you put it in wrong it's 1/16 not 7/16)
(7/8) / (7/16) = ?
The answer is 2. I suspect a typo.
To find out how many shorter pieces of wood Mary can make from the longer piece, you need to divide the length of the longer piece (7/8 yard) by the length of each shorter piece (7/16 yard).
To divide fractions, you can use the following formula:
a/b ÷ c/d = a/b × d/c
In this case, a/b represents the length of the longer piece (7/8 yard), and c/d represents the length of each shorter piece (7/16 yard).
So, let's plug in the values:
(7/8) ÷ (7/16) = (7/8) × (16/7)
Next, multiply the numerators (7 and 16) and the denominators (8 and 7):
(7 × 16) / (8 × 7) = 112/56
Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 8:
(112 ÷ 8) / (56 ÷ 8) = 14/7
Finally, reduce the fraction if possible:
14/7 = 2
Therefore, Mary can make 2 shorter pieces of wood from the longer piece.