Question

Calculate. -(1)/(15)-(-(5)/(9)) your answer in simplest form.

Answer 1

To calculate -(1/15)-(-(5/9)), convert both fractions to have a common denominator of 45, resulting in -3/45 + 25/45, which simplifies to 22/45.

Step-by-step explanation:

To calculate -(1/15)-(-(5/9)) and express your answer in simplest form, follow these steps:

1. Identify the first term as negative one-fifteenth (-1/15).
2. Recognize the second term as the negative of negative five-ninths, which is positive five-ninths (+5/9) because two negatives make a positive.
3. Add these two values together: -1/15 + 5/9.
4. To add fractions, find a common denominator. The least common denominator (LCD) here is 45.
5. Convert both fractions to have the LCD: (-1/15) × (3/3) = -3/45 and (5/9) × (5/5) = 25/45.
6. Add the fractions: -3/45 + 25/45 = 22/45, which is in simplest form.

Therefore, -(1/15)-(-(5/9)) simplified equals 22/45.