SOLUTION: Karla has 14.5 yards of fabric. If she needs to cut cloth into pieces that are 2 1/6 yards long how many can be cut

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Question 978125: Karla has 14.5 yards of fabric. If she needs to cut cloth into pieces that are 2 1/6 yards long how many can be cut
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
USING FRACTIONS:
2%261%2F6=2%2B1%2F6=2%286%2F6%29%2B1%2F6=12%2F6%2B1%2F6=13%2F6
14.5=14.5%2A%282%2F2%29=29%2F2
Dividing 29%2F2 by 13%2F6 is the same as multiplying times 6%2F13 , so

So, Karla can get highlight%286%29 pieces that are 2%261%2F6 yards long, and there will be a shorter piece of fabric leftover.

USING INCHES:
1+yard=3+feet=3%2812+inches%29=36+inches
14.5yards+=14.5%2A36+inches=522+inches
--->2%261%2F2yards=2+yard%2B%22%281%2F6%29+yard%22=72+inches%2B6+inches=78+inches
How many 78-inch pieces can you get out of 522 inches of fabric?
522%2F78=6.69230 (rounded).
So, Karla can cut highlight%286%29 pieces that are 2%261%2F6 yards long.

USING APPROXIMATE DECIMALS:
You could use a decimal approximation of 2%261%2F6 and a calculator.
Since 1%2F6=0.1666.... with infinite 6's,
so 2%261%2F6=2.1666.... with infinite 6's
you could use the approximation 1%2F6=0.167--->2%261%2F6=2.167 and get
14.5%2F2.167=6.69 .
That tells you that Karla can cut 6 pieces that are 2.167 yards long.
Karla would also be able to cut highlight%286%29 pieces that are exactly 2%261%2F6=2%2B1%2F6 yards long.
The length of fabric used would be 6%282%2B1%2F6%29=6%2A2%2B6%2A%281%2F6%29=12%2B1=13 yards.
There would be some fabric leftover. In yards, it would be
14.5yards-13+yards=1.5yards .
that is shorter than 2%261%2F6 yards, so Karla cannot get any more 2%261%2F6 yard-long pieces.