Question

The length of a ribbon is 3/4 meter.Sun Yi needs pieces measuring 1/3 meter for an art project.what is the greatest number of pieces measuring 1/3 meter that can be cut from the ribbon? How much ribbon will be left after Sun Yi cuts the ribbon? Explain your reasoning

Answer 1

She can make maximum 2 pieces

Amount left =
`(1)/(12)` m

Step-by-step explanation:

1- getting the maximum number of pieces:

We know that the total length is
`(3)/(4)` m and that each piece would measure
`(1)/(3)`

To get the number of pieces, we would simply divide the total length by the length of each piece as follows:

number of pieces =
`(3)/(4) / (1)/(3) = (3)/(4) * (3)/(1) = (9)/(4) = 2.25` pieces

We will need to round down to get the maximum number of pieces.

This means that the maximum number of pieces that she can cut is 2 pieces

2- getting the leftover:

We calculated that she can make two pieces each of length
`(1)/(3)` m

This means that:

total length of two pieces =
`2 * (1)/(3) = (2)/(3)` m

We know that the total length is
`(3)/(4)` m

This means that:

leftover =
`(3)/(4) - (2)/(3) = (1)/(12)` m

Hope this helps :)

Answer 2

The correct answer is:

2 pieces, with 1/12 m left over.

Explanation:

To find the number of 1/3 meter pieces she can cut from a 3/4 meter ribbon, we divide:

3/4÷1/3

To divide fractions, flip the second one and multiply:

3/4×3/1

To multiply fractions, multiply straight across:

(3*3)/(4*1) = 9/4

4 will go into 9 two times with 1 left over, so this simplifies to 2 1/4; this means she can cut 2 pieces this length.

2 pieces that are 1/3 meter long is a total of 2(1/3) = 2/3 m. To find out how much is left, subtract:

3/4 - 2/3

Common denominator is 12:

3/4 = 9/12 and 2/3 = 8/12

9/12 - 8/12 = 1/12

There is 1/12 of a meter left.