Question

Which pair of ratios forms a proportion?

Answer 1

\[\frac{ 10 }{ 22 } and \frac{ 5 }{ 44 } , \frac{ 16 }{ 9 } and \frac{ 8 }{ 18 } , \frac{ 7 }{ 8 } and \frac{ 14 }{ 16 } , or \frac{ 20 }{ 24 } and \frac{ 40 }{ 12 }\]

Answer 2

For pairs to be proportional, we should be able to multiply one of the pairs by \(\Large 1\) and end up with the other.

We'll multiply by \(\Large 1\) in a sneaky way though.\[\Large \frac{2}{2}=1\]



So if we take the first pair, let's try the multiplication and see what happens.\[\Large \frac{2}{2}\cdot\frac{5}{44} \quad=\quad \frac{10}{88}\]Hmm that pair doesn't work. See how we weren't able to produce 10/22 by multiplying by 1?

Answer 3

Try the next pairs, what do you get?\[\Large \frac{2}{2}\cdot\frac{8}{18} \quad=\quad ?\]

Answer 4

4/9

Answer 5

Evaluate them so you get them in decimal form. The decimals should be = like

1/2=.5 in decimal just plug it in.

1/4=.25
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Answer 6

Yah that's a better idea actually :)
Cause I know you'd rather shortcut through these, so that's probably a nice easy way to approach it.

Answer 7

i'll do first one for you

10/22 = 5/44
.45454545454=.113636363 so no

Answer 8

ok is it the 3rd option

Answer 9

7/8=14/16
.875=0.875

YES :D

Answer 10

Yeah some people like factoring to do these. WHich sucks.