Question

A car care company sells 45-in. Upholstery fabric for car restoration. Art bought 9 7/12 yd and 11 13/16 yd for two car projects. How many yards did art buy?

Answer 1

Answer:

$21\frac{19}{48}\ yards$

Step-by-step explanation:

Art bought $9\frac{7}{12}$ and $11\frac{13}{16}$ yards of fabric.

Total fabric bought: $9\frac{7}{12} + 11\frac{13}{16}$

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

$\frac{115}{12} + \frac{189}{16}\\\\\frac{460}{48} + \frac{567}{48}\\\\\frac{460 + 567}{48}\\\\\frac{1027}{48}$

We reduce this fraction to mixed fraction (or reduce if possible), since 1027 and 48 have no common factors.

= $21\frac{19}{48}$ yards