please help me figure out why 7r= -7/2(thats a fraction) the answer is 1/2 but why and how do i show my work to get this answer?

Question

lgbasallote · Answer

7r = -7/2 doesnt make 1/2 o.O are you sure you wrote the question right?

anonymous · Answer

its in my practice test which shows the answer is -1/2 but i got 3.5

lgbasallote · Answer

ahh it's -1/2 right

anonymous · Answer

they want me to show my work but i dont understand how its negative half

lgbasallote · Answer

$$7r = -\frac{7}{2}$$ divide both sides by seven

$$\frac{\cancel{7}r}{\cancel{7}} = -\frac{\cancel{7}}{2} \times \frac{1}{\cancel{7}}$$
$$r = -\frac{1}{2}$$ got it now?

anonymous · Answer

where did you get the 1/7 from?

lgbasallote · Answer

divide by 7

lgbasallote · Answer

that also means multiply by 1/7

lgbasallote · Answer

$$\frac{a}{7} = a \times \frac{1}{7}$$

anonymous · Answer

and quick question how are you able to type on the keyboard the fraction correctly without using the slash?

lgbasallote · Answer

type in your equation editor:

\frac{numerator}{denominator}

this produces $\frac{numerator}{denominator}$

lgbasallote · Answer

you get it right?

anonymous · Answer

yea i was multiplying straight across instead of cross multiply

lgbasallote · Answer

great!! ^_^