use mulitplying by 1 to find an expression equivalent to (10/13) with a denominator of 39a

Thank you for your help.

ask yourself

"What did I multiply 13 by to get 39a ?"

How about 10/13 * 3a/(3a) = (30a)/(39a)

Provide an example of at least five ordered pairs that do not model a function. The domain will be any five integers between 0 and 20. The range will be any five integers between -10 and 10. Your example must not be the same as those of other students or the textbook. Why does your example not model a function?

To find an expression equivalent to (10/13) with a denominator of 39a, we can use the concept of multiplying by 1.

Multiplying any number by 1 does not change its value, but we can cleverly choose 1 in a different form to change the denominator.

In this case, we want to change the denominator from 13 to 39a. Since 39a is equal to 3 * 13a, we can multiply the numerator and denominator of (10/13) by 3a.

To maintain the same value, we multiply the numerator and denominator by the same expression, which is 3a:
(10/13) x (3a/3a)

This results in:
(10 * 3a) / (13 * 3a)

Simplifying the expression, we get:
(30a) / (39a)

Now we have an equivalent expression to (10/13) with a denominator of 39a.

Note: If you are looking for the simplest form of this expression, you can divide both the numerator and denominator by the greatest common factor, which in this case is 3a. Simplified, it becomes:
10 / 13