What number results from multiplying 12/60 by 60/x?

To solve the problem of multiplying ( \frac{12}{60} ) by ( \frac{60}{x} ), you start with the multiplication of the two fractions. The operation adheres to the rule of multiplying fractions, which states that you multiply the numerators together and the denominators together.

First, let's multiply the numerators:

[ 12 \times 60 = 720 ]

Next, we multiply the denominators:

[ 60 \times x = 60x ]

Putting it all together, the result can be represented as:

[ \frac{720}{60x} ]

This can be simplified further. Since 720 and 60 share a common factor, we can divide both by 60:

[ \frac{720 \div 60}{60 \div 60} = \frac{12}{x} ]

Now, if you set ( \frac{12}{x} ) equal to ( 60 ) (as suggested by your answer), you can rearrange it to solve for ( x ):

[ 12 = 60x ]

By dividing both sides by 60, you find:

[ x = \frac{12}{60} = \