Final answer:
Mary has a total of 27/20 yards of fabric, which is 1.35 yards when combined. This math problem involves adding fractions with different denominators, which requires finding a common denominator before performing the addition.
Step-by-step explanation:
The subject of this question is Mathematics, specifically dealing with measuring units and their conversions within the same system (yards, feet, inches). When Mary has ¾ of a yard of fabric and buys another 4/5 of a yard, to find out how much fabric she has in total, one needs to add the two fractions.
To carry out this addition, both fractions should have a common denominator. In this case, the common denominator for 3 and 5 is 15, so we convert each fraction:
- ¾ = 15/4 = 5×15/4×15 = 15/20
- 4/5 = 15/5 = 4×15/5×15 = 12/20
Now, add the two amounts of fabric:
15/20 + 12/20 = 27/20 yards.
Mary has a total of 27/20 yards of fabric, which is equal to 1 yard and 7/20 of a yard, or 1.35 yards.