Answer:
To find the product of 2 2/5 and -5/12, we can follow these steps:
1. Convert the mixed number 2 2/5 to an improper fraction. To do this, we multiply the whole number (2) by the denominator (5) and add the numerator (2). This gives us (2 * 5 + 2) / 5 = 12/5.
2. Multiply the improper fraction 12/5 by the fraction -5/12. To multiply fractions, we simply multiply the numerators and multiply the denominators. This gives us (12 * -5) / (5 * 12) = -60/60.
3. Simplify the fraction -60/60 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 60. This gives us (-60 ÷ 60) / (60 ÷ 60) = -1/1.
4. The product of 2 2/5 and -5/12 is -1/1, which can be simplified to just -1.
Therefore, the product of 2 2/5 and -5/12 is -1.