Final answer:
To subtract fractions with different denominators, we need a common denominator. Multiply each fraction by the appropriate form of 1 that results in the common denominator. Then subtract the numerators and keep the denominator the same.
Step-by-step explanation:
To subtract fractions, we need a common denominator. In this case, the least common denominator (LCD) is 5d. So we rewrite the fractions with the LCD:
(2)/(d) becomes (2*5)/(d*5) = 10/(5d)
(3)/(5) remains the same
Now, we subtract the fractions:
10/(5d) - 3/5
To subtract, we need the same denominator for both fractions, so we multiply the second fraction by (5d)/(5d):
10/(5d) - (3*(5d))/(5*5d)
Simplifying, we get:
(10 - 15d)/(5d)