Are 2 times x plus 4 all over 3 times x plus 6 and 2 over 3 equivalent expressions? Using complete sentences explain why or why not. Are 2 times x plus 4 all over 3 times x plus 6 and 2 over 3 equivalent expressions? Using complete sentences explain why or why not.

Question

Are 2 times x plus 4 all over 3 times x plus 6 and 2 over 3 equivalent expressions? Using complete sentences explain why or why not.  Are 2 times x plus 4 all over 3 times x plus 6 and 2 over 3 equivalent expressions? Using complete sentences explain why or why not.

campbell_st · Answer

well the question looks like 

$$\frac{2x + 4}{3x + 6}$$

both the numerator and denominator can be factored... 

can you do that.... and what do you get..?

anonymous · Answer

factor it by 2 and you get 2 over 3

campbell_st · Answer

well factoring 

$$\frac{2(x +2)}{3(x+2)}$$

the common factor in the numerator and denominator is obvious... leaving your equivalent fraction.

anonymous · Answer

thank you now I see that you i cancel the x+2 and the ratio is 2/3 thanks 4 ur help