Question

How many 6 1/4 inches pieces of fabric can be cut from a 75 inch roll

Answer 1

Answer: The answer is 12 pieces.

Step-by-step explanation:  It is given that there is a fabric roll of 75 inches and we have to cut pieces from the fabric of $\frac{25}{4}$ inches each.

We are to find how many such pieces we can cut from the entire roll of 75 inches.

Obviously, we will be using unitary method here.

Number of pieces in $\frac{25}{4}$ inches = 1,

number of pieces in 1 inch = $\frac{4}{25}$,

Therefore, number of pieces in 75 inches will be

$\dfrac{4}{25}\times 75=4\times 3=12.$

Thus, the total number of pieces  is 12.

Answer 2

Answer: There are 9 pieces that can be cut from 75 inches roll.

Step-by-step explanation:

Since we have given that

Length of roll = 75 inch

Length of fabric is to be cut is given by

$6\frac{1}{4}\ inches\\\\=\frac{25}{3}\ inches$

We need to find the number of pieces :

$\text{Number of pieces}=\frac{75}{\frac{25}{3}}\\\\\text{Number of pieces}=\frac{75\times 3}{25}\\\\\text{Number of pieces}=3\times 3\\\\\text{Number of pieces}=9$

Hence, there are 9 pieces that can be cut from 75 inches roll.