Answer
Estimate: 2 + 4 = 6 yds.
Exact: $6\frac{5}{24}$ yds.
Work Step by Step
$2\frac{1}{3}$ yds of cotton fabric
$3\frac{7}{8}$ yds of wool fabric
Total fabric = cotton fabric + wool fabric = $2\frac{1}{3}$+$3\frac{7}{8}$
Estimate:
$2\frac{1}{3}$ rounds to 2
$3\frac{7}{8}$ rounds to 4
2 + 4 = 6 yds of fabric
Exact:
$2\frac{1}{3}$+$3\frac{7}{8}$
= $\frac{2\times3+1}{3}$+$\frac{3\times8+7}{8}$
= $\frac{7}{3}$+$\frac{31}{8}$
= $\frac{7\times8}{3\times8}$+$\frac{31\times3}{8\times3}$ (LCM of 3 & 8 is 24)
= $\frac{56}{24}$+$\frac{93}{24}$
= $\frac{56+93}{24}$
= $\frac{149}{24}$
= $6\frac{5}{24}$ yds.
