Question

Jessica used 2/3 yard of fabric to make a scarf. Can she make 2 of these scarves with

1 3/4 yards of fabric, and why?

Answer 1

Yes she can.

2/3 * 2 = 4/3

That is 1 1/3. We can already tell she can but just to prove it...

1/3 * 4 = 4/12

3 * 3/4 = 9/12

We have 1 and 4/12. She has 5/12 left over of Fabric.

Hope this helps!

Answer 2

Yes, she can make 2 scarves of length
`(2)/(3)` yards.

Explanation:

Jessica used
`(2)/(3)` yard of fabric to make a scarf.

Now she has a fabric of length
`1(3)/(4)` yards =
`(7)/(4)` yards.

We have to find whether she can make 2 scarves or not.

∵
`(2)/(3)` yards fabric is used to make scarf = 1

∴ 1 yard fabric is used to make scarf =
`(1)/((2)/(3))` =
`(3)/(2)`

∴
`(7)/(4)` yard fabric is used to make scarf =
`(3)/(2)` ×
`(7)/(4)`

`(21)/(8)` ≈
`2(5)/(8)`

Now we can say that she can make 2 scarves of length
`(2)/(3)` yards.