(+81)−(+64)=
To solve the problem (+81)−(+64), let's follow these steps:
- Step 1: Simplify the fraction 64 to its simplest form. Since both the numerator and the denominator are divisible by 2, we have 64=32.
- Step 2: Find the least common denominator (LCD) for the fractions 81 and 32. The denominators are 8 and 3, so the LCD is 24.
- Step 3: Convert both fractions to have the denominator of 24.
- For 81, multiply both the numerator and the denominator by 3 to get: 8×31×3=243.
- For 32, multiply both the numerator and the denominator by 8 to get: 3×82×8=2416.
- Step 4: Subtract the numerators over the common denominator: 243−2416=243−16=24−13.
- Step 5: The fraction 24−13 is already in its simplest form since 13 is a prime number and does not divide 24.
Therefore, the solution to the problem is −2413.
From the given multiple-choice options, the correct choice is option 2:
−2413
.
−2413