A pattern calls for 2 and 1/4 yards of material and 1 1/4 yards of linen how much total fabric is needed

3 1/2

Explanation

1/4 + 1/4 = 2/4 = 1/2

2 + 1 = 3

3 + 1/2 = 3 1/2

The total fabric needed for 2¼ yards of material and 1¼ yards of linen is 3½ yards

Explanation:

Given

Let M = Size of material

M = 2¼ yards

Let S = Size of linen

S = 1¼ yards.

Quantity of fabric needed is calculated by adding the size of material to the size of linen.

Let T represent total quantity of fabric need

T = M + L

By substituton,

T = 2¼ yards + 1¼ yards

Convert to improper fraction

T = 9/4 yard + 5/4 yards

Find LCM (Least Common Multiple)

LCM = 4 ...

So, T = 9/4 yard + 5/4 yards becomes

T = (9 + 5) / 4 yards

T = 14/4 yards

T = (7*2) / (2*2) yards

T = 7/2 yards

Convert to mixed fraction.

T = 3½ yards or 3.5 yards

The total fabric needed for 2¼ yards of material and 1¼ yards of linen is 3½ yards