Tell whether the fractions are equivalent write = or =/ 1/4 and 3/12

they are equivalent

Step-by-step explanation:

Yes, they are equivalent.

Step-by-step explanation:

1/4 is already in its simplest form.  To make 3/12 in its simplest form divide them by each other, which makes the answer 1/4.  1/4 = 1/4

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions