Question

Using​ 45-in. fabric, Regan needs 2 and one fourth yd for a​ dress, one fourth yd of contrasting fabric for the band at the​ bottom, and 4 and three fourths yd for a coordinating jacket. How many yards of​ 45-in. fabric are needed in​ all?

Answer 1

In all, the length of fabric that Regan needs is
`7\tfrac{1}{4}` yards

Explanation:

The question relates to a word problem involving the sum of fractional dimensions

The parameters given are

Dress = 2¹/₄ yd of the 45-in. fabric

Band at the bottom = 1/4 yd of the 45-in. fabric

Jacket = 4³/₄ yd of the 45-in. fabric

Hence the total length, L, of the 45-in. fabric Regan needs is found as follows;

L = 2¹/₄ + 1/4 + 4³/₄ = ²⁹/₄ = 7¹/₄ yd.

In all, the length of fabric that Regan needs =
`7\tfrac{1}{4}` yards.

Answer 2

`7\frac14$ yards`

Explanation:

Regan needs the following:

`2(1)/(4)` yards for a​ dress

`(1)/(4)$ yards of contrasting fabric for the band at the bottom$\\4(3)/(4)$ yards for a coordinating jacket.`

Total Length of fabric needed

`= 2(1)/(4)+(1)/(4)+4(3)/(4)\\=2+4+(1)/(4)+(3)/(4)+(1)/(4)\\=6+1+(1)/(4)\\=7(1)/(4)$ yards`

The number of yards of 45-in. fabric needed is
`7\frac14$ yards.`