Question

3 + 3/2 = 9. Find the missing equation, answer has to be 5.

a) 3 + 3/2 = 5
b) 3 * 3/2 = 5
c) 3 - 3/2 = 5
d) 3 / 3/2 = 5

Answer 1

The missing equation that equals 5 is option d) 3 / 3/2 = 5. By finding the multiplicative inverse of 3/2 and multiplying it by 3, we get an answer of 5, which is the correct solution.

Step-by-step explanation:

The correct missing equation that would result in an answer of 5 is option b) 3 * 3/2 = 5. Let's solve this step by step:

1. Multiply the whole number by the fraction: 3 * (3/2)
2. Perform the multiplication by multiplying the numerators together and keeping the denominator: 3 * 3 = 9 and 2 remains as the denominator, so you get 9/2.
3. Convert the improper fraction 9/2 to a mixed number, which is 4 1/2 or as a decimal, 4.5.
4. Since 4.5 is not equal to 5, it is clear that this equation does not yield the desired answer.

Now, let's check the other options quickly:

• a) 3 + 3/2 = 3 + 1.5 = 4.5, not 5.
• c) 3 - 3/2 = 3 - 1.5 = 1.5, not 5.
• d) 3 / 3/2 equals 3 * (2/3) (which is the multiplicative inverse), which equals 2. Thus, option d) is the correct answer.