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

Answer:

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

Step-by-step 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

Answer:

$7\dfrac14 yards$

Step-by-step explanation:

Regan needs the following:

$2\dfrac{1}{4}$ yards for a​ dress

$\dfrac{1}{4} yards of contrasting fabric for the band at the bottom \\4\dfrac{3}{4} yards for a coordinating jacket.$

Total Length of fabric needed

$= 2\dfrac{1}{4}+\dfrac{1}{4}+4\dfrac{3}{4}\\=2+4+\dfrac{1}{4}+\dfrac{3}{4}+\dfrac{1}{4}\\=6+1+\dfrac{1}{4}\\=7\dfrac{1}{4} yards$

The number of yards of 45-in. fabric needed is $7\dfrac14 yards.$