Answer
Find out the how many shorter pieces can a seamstress cut.
To prove
Let us assume that the number of shorter pieces cut be x.
As given
A seamstress has a piece of cloth that is 3 yards long.
she cuts it into shorter lengths of 16 inches each.
As
1 yards = 36 inches
Now convert 3 yards into inches.
= 3 × 36
= 108 yards
Than the equation becomes
16x = 108
[tex]x = \frac{108}{16}[/tex]
x = 6.75
Therefore the number of shorter pieces be 6 .
She can cut 6.75 shorter pieces
The division operation is one of the basic arithmetic operations
Common signs used are [tex]\displaystyle \boxed{:}[/tex] or [tex]\displaystyle \boxed{\slash}[/tex]
The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel
The division is actually an iterative subtraction operation (as many as the number of divisors)
Division is the opposite of multiplying
The general form of division can be stated by:
[tex]\large{\boxed{\boxed{\bold{divident:divisor=quotient+remainder}}}[/tex]
example:
7: 3 = 2 + 1
7 = dividend
3 = divisor
2 = quotient
1 = remainder
The form of division can also be expressed in terms of fractions
In the number above, the form of fraction obtained is the form of mixed fractions
[tex]\displaystyle \frac{7}{3}=2\frac{1}{3}[/tex]
Mixed fractions consist of integers and ordinary fractions
Division operation statement:
"7 divided by 3 equals 2 remainder 1
a piece of cloth that is 3 yards long
shorter lengths of 16 inches each
the number of shorter pieces that can be cut
Division operation statement:
"3 yards long divided by 16 inches*
[tex]\displaystyle =~3~yards : 16~inches[/tex]
We convert yards to inches
One yard is equal to 36 inches
1 yards = 36 inches
so for 3 yards :
[tex]\displaystyle \frac{1~yard}{3~yard} =\frac{36~inches}{x~inches}[/tex]
[tex]\displaystyle x=\frac{3~yard\times36}{1~yard}[/tex]
x = 108 inches
Division operation :
108 inches : 16 inches
= 6.75 pieces
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Keywords: division, cloth, yards, inches
