Question

Cassie has a wood board that is 3/4

foot long. She wants to cut the board into pieces that are 1/8
foot long. Which expression will help Cassie find how many pieces she can cut?

Answer 1

Explanation:

To find out how many pieces Cassie can cut from a 1-foot long board into pieces that are 1/8 foot long, you can use the following expression:

Number of pieces

=

Total length

Length per piece

Number of pieces=

Length per piece

Total length

​

In this case:

Total length = 1 foot

Length per piece = 1/8 foot

Substitute these values into the expression:

Number of pieces

=

1

foot

1

/

8

foot/piece

Number of pieces=

1/8 foot/piece

1 foot

​

Simplify the division by multiplying the numerator by the reciprocal of the denominator:

Number of pieces

=

1

foot

×

8

1

piece/foot

Number of pieces=1 foot×

1

8

​

piece/foot

Number of pieces

=

8

pieces

Number of pieces=8 pieces

So, the expression that helps Cassie find how many pieces she can cut is

1

1

/

8

1/8

1

​

, which simplifies to

8

8 pieces.