Convert these unlike fractions to equivalent like fractions and add them. you must use the lcd to get the answer correct. if possible, reduce the final sum.

1/4=
5/12=
+

=

2/3.

Step-by-step explanation:

The LCD of 4 and 12 is 12.

1/4 = 3/12

So adding we have:

3/12 + 5/12 = 8/12

= 2/3.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).