Question

Taylor cuts 1/5 sheet of construction paper for an arts and crafts project. Write 1/5 as an equivalent fraction with the denominator shown. /10, /15, /25, /40

Answer 1

1 2 2
-- multiply by -- = ---
5 2 10

1 3 3
-- multiply by -- = ---
5 3 15

1 5 5
-- multiply by -- = ---
5 5 25

1 8 8
-- multiply by -- = ---
5 8 40

Answer 2

`(1)/(5)\ is\ equivalent\ to\ fraction\ with\ the\ denominator\ 10\ , 15\ , 25\ , 40\ are (2)/(10)\ , (3)/(15)\ , (5)/(25)\, (8)/(40).`

Explanation:

As given

`Taylor\ cuts\ (1)/(5)\ sheet\ of\ construction\ paper\ for\ an\ arts\ and\ crafts\ project.`

Thus

`= (1)/(5)`

Multiply numerator and denominator by 2 .

Thus

`(1)/(5)=(1* 2)/(5* 2)`

`(1)/(5)=(2)/(10)`

Second case

`= (1)/(5)`

Multiply numerator and denominator by 3 .

Thus

`(1)/(5)=(1* 3)/(5* 3)`

`(1)/(5)=(3)/(15)`

Third case

`= (1)/(5)`

Multiply numerator and denominator by 5 .

Thus

`(1)/(5)=(1* 5)/(5* 5)`

`(1)/(5)=(5)/(25)`

Fourth

`= (1)/(5)`

Multiply numerator and denominator by 8 .

Thus

`(1)/(5)=(1* 8)/(5* 8)`

`(1)/(5)=(8)/(40)`

`Therefore\ (1)/(5)\ is\ equivalent\ to\ fraction\ with\ the\ denominator\ 10\ , 15\ , 25\ , 40\ are (2)/(10)\ , (3)/(15)\ , (5)/(25)\, (8)/(40).`