Question

Subtract, (2)/(d)-(3)/(5) Simplify your answer as much as possible.

Answer 1

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)