Final answer:
-2¼÷(-1½) is solved by converting the mixed numbers to improper fractions, dividing by multiplying with the reciprocal, and simplifying the result. The answer is 1½ or 3/2.
Step-by-step explanation:
The question asks to find out what is -2¼÷(-1½) equal to, which is a basic arithmetic problem involving the division of two mixed numbers.
We start by converting the mixed numbers to improper fractions. -2¼ becomes -9/4 and -1½ becomes -3/2. We then divide -9/4 by -3/2, which is the same as multiplying -9/4 by the reciprocal of -3/2, which is 2/3. Here are the steps:
- Convert mixed numbers to improper fractions: -2¼ = -9/4 and -1½ = -3/2.
- Divide -9/4 by -3/2 which equals -9/4 × 2/-3.
- Simplify the equation: -9/4 × 2/-3 = 9/4 × 2/3, since dividing by a negative is the same as multiplying by a negative.
- Multiply: (9 × 2) / (4 × 3) = 18/12.
- Simplify the fraction by dividing both numerator and denominator by their GCD (6): 18/12 = 3/2.
Therefore, -2¼÷(-1½) equals 3/2 or 1½.