Answer:
[tex]21\frac{19}{48}\ yards[/tex]
Step-by-step explanation:
Art bought [tex]9\frac{7}{12}[/tex] and [tex]11\frac{13}{16}[/tex] yards of fabric.
Total fabric bought: [tex]9\frac{7}{12} + 11\frac{13}{16}[/tex]
To add both fractions, we convert them into improper fractions (multiply denominator with whole number, then add the numerator) and then we find the LCM of the two denominators: 12 and 16
LCM of 12 and 16 = 48
[tex]\frac{115}{12} + \frac{189}{16}\\\\\frac{460}{48} + \frac{567}{48}\\\\\frac{460 + 567}{48}\\\\\frac{1027}{48}[/tex]
We reduce this fraction to mixed fraction (or reduce if possible), since 1027 and 48 have no common factors.
= [tex]21\frac{19}{48}[/tex] yards
