Question

4 1/2 yards of cloth are needed to make a woman’s dress. 2 2/7 yards of cloth are needed to make a girl’s dress. How much more cloth is needed to make a woman’s dress than a girl’s dress?

Answer 1

2 3/14

Explanation:

Answer 2

`2(3)/(14)` yards

Explanation:

We have been given that 4 1/2 yards of cloth are needed to make a woman’s dress. 2 2/7 yards of cloth are needed to make a girl’s dress.

To find the yards of more cloth needed to make a woman’s dress than a girl’s dress, we will subtract cloth needed for girl's dress from the cloth needed for woman's dress.

`4(1)/(2)-2(2)/(7)`

Convert mixed fraction into improper fraction:

`4(1)/(2)\Rightarrow (4* 2+1)/(2)=(8+1)/(2)=(9)/(2)`

`2(2)/(7)\Rightarrow (2* 7+2)/(7)=(14+2)/(7)=(16)/(7)`

`4(1)/(2)-2(2)/(7)=(9)/(2)-(16)/(7)`

Make a common denominator:

`(9*7)/(2*7)-(16*2)/(7*2)`

`(63)/(14)-(32)/(14)`

`(63-32)/(14)`

`(31)/(14)`

`2(3)/(14)`

Therefore,
`2(3)/(14)` yards more cloth is needed to make a woman’s dress than a girl’s dress.