Use muliplying by 1 to find an expression equivalent to 10/13 with a dominator of 39a

Please kindly help. I don't understand what to do. Thanks!

10/13.

To get an equivalent expression, we multiply the numerator and denominator
by the same number.

In this case, our denominator went from 13 to 39. 39 / 13 = 3. So we multiplied our denominator by 3. So, we
must multiply our numerator by 3 also.
Our equivalent fraction is 30/39. We
know this is correct, because when we
DIVIDE the numerator and denominator by 3 we get 10/13 ,our original fraction.

use multiplying by 1 to find an expression equivalent to 11/14 with a denominator of 56c the equivalent expression is

To find an expression equivalent to 10/13 with a denominator of 39a, we can multiply both the numerator and the denominator of 10/13 by a carefully chosen expression that equals 1.

In this case, we want to multiply by an expression that has a denominator of 39a. To do this, we can multiply both numerator and denominator of 10/13 by 3a. This means we are essentially multiplying 10/13 by (3a)/(3a), which is equal to 1.

So, let's multiply:

10/13 * (3a)/(3a)

To simplify this expression, we multiply the numerators (10 * 3a) and the denominators (13 * 3a):

(10 * 3a)/(13 * 3a)

This simplifies to:

30a / 39a

We can further simplify this expression by dividing both the numerator and the denominator by the greatest common factor (GCF) between them, which is 3:

(30a ÷ 3) / (39a ÷ 3)

This becomes:

10a / 13a

Therefore, the expression equivalent to 10/13 with a denominator of 39a is 10a/13a.