Question

Does 10p/2q = 5p/q I think it is not equal but it doesn't seem right.

Answer 1

Answer: $\frac{10p}{2q}=\frac{5p}{q}$  (TRUE)

Step-by-step explanation:

For this exercise it is important to remember that, by definition, fractions have the following form:

$\frac{a}{b}$

Where "a" is the numerator and "b" is the denominator.

The numerator and the denominator are Integers, but the denominator cannot be zero ($b\neq 0$)

In this case you have the following equation provided in the exercise:

$\frac{10p}{2q}=\frac{5p}{q}$

To find out if the left side of the equation is equal to the right side, it is necessary to simplify the fraction on the left.

Notice that the numerator and the denominator of the fraction on the left  can be both divided by 2. Then, you can simplify it.

So, you get;

$\frac{5p}{q}=\frac{5p}{q}\ (TRUE)$