Question

The product of two numbers is 16/5. If one of the numbers is 32/9, what is the other number?

a) 10/9
b) 16/5
c) 5/32
d) 144/5

Answer 1

To find the unknown number when the product of two numbers is 16/5 and one of the numbers is 32/9, divide 16/5 by the reciprocal of 32/9. The calculation yields 9/10 as the other number, which is not listed in the given options.

Step-by-step explanation:

The product of two numbers is given as 16/5. One of the numbers is known, 32/9. To find the other number, we need to divide the product by the known number. Here's how you do it:

1. First, write down the equation for the product of two numbers: (Number 1) × (Number 2) = Product.
2. Substitute the known values into the equation: (32/9) × (Unknown Number) = 16/5.
3. To solve for the Unknown Number, divide both sides of the equation by 32/9, which is the same as multiplying by its reciprocal.
4. The reciprocal of 32/9 is 9/32. So, (Unknown Number) = (16/5) × (9/32).
5. Proceed with the multiplication: (16 × 9) / (5 × 32) = 144 / 160.
6. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 16: 144/160 = 9/10.
7. Thus, the other number is 9/10, which is not one of the options provided, indicating a potential error in the options or the question itself.