Question

Sean has a piece of string 7/8 meter long. He uses 1/5 of the piece of string to tie a package and cuts the rest into 5 equal pieces. What is the length of each piece

Answer 1

Answer:

7/50 meter.

Step-by-step explanation:

He has 7/8 meter. 1/5 of the piece of string is

$\frac{7}{8}\frac{1}{5} = \frac{7}{40}$.

Then, he uses 7/40 meter to tie a package. The rest of string will be

$\frac{7}{8}-\frac{7}{40} = \frac{7}{10}$.

Then, the rest of string after he uses 1/5 is 7/10. Finally, he cuts the rest into 5 equal pieces, that is

$\frac{7}{10}\frac{1}{5} = \frac{7}{50}$.

Then, the lenght of each piece is 7/50 meter.

Answer 2

First we have to find how much string we are going to cut into 5 pieces. We do this by taking 1/5 of 7/8 meter.

1/5 × 7/8 = 7/40

Now we have to subtract this from the original amount...

7/8 - 7/40 =
35/40 - 7/40 =
28/40 = 14/20 = 7/10

Now we divide this remaining string by 5 to find the length of the individual pieces...

7/10 ÷ 5 =
7/10 × 1/5 =

7/50 meter