Question

a seamstress has a piece of cloth that is 3 yards long. she cuts it into shorter lengths of 16inches each. how many shorter pieces can she cut

Answer 1

She can cut 6.75 shorter pieces

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\displaystyle \boxed{:}$  or   $\displaystyle \boxed{\slash}$

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:

$\large{\boxed{\boxed{\bold{divident:divisor=quotient+remainder}}}$

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

$\displaystyle \frac{7}{3}=2\frac{1}{3}$

Mixed fractions consist of integers and ordinary fractions

Division operation statement:

"7 divided by 3 equals 2 remainder 1

Known

a piece of cloth that is 3 yards long

shorter lengths of 16 inches each

Asked

the number of shorter pieces that can be cut

Answer

Division operation statement:

"3 yards long divided by 16 inches*

$\displaystyle =~3~yards : 16~inches$

We convert yards to inches

One yard is equal to 36 inches

1 yards = 36 inches

so for 3 yards :

$\displaystyle \frac{1~yard}{3~yard} =\frac{36~inches}{x~inches}$

$\displaystyle x=\frac{3~yard\times36}{1~yard}$

x = 108 inches

Division operation :

108 inches : 16 inches

= 6.75 pieces

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Keywords: division, cloth, yards, inches

Answer 2

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

$x = \frac{108}{16}$

x = 6.75

Therefore the number of shorter pieces be 6 .