Question

Find the equivalent ratios.

9/5

21 to 35

27: 30

8/32

Answer 1

none of them are equivalent

Answer 2

those are down, not this one

Answer 3

sorry i need help i forgot

Answer 4

in this

Answer 5

With time, this should come intuitively. However, I believe a good way to 'visualize' this type of problem is to decompose each ratio into its prime factors and simplify:\[\frac{9}{5}=\frac{3\cdot3}{5}\]\[\frac{21}{35}=\frac{3\cdot7}{5\cdot7}=\frac{3\cdot\not{7}}{5\cdot\not{7}}=\frac{3}{5}\]\[\frac{27}{30}=\frac{3\cdot3\cdot3}{2\cdot3\cdot5}=\frac{3\cdot\not{3}\cdot3}{2\cdot\not{3}\cdot5}=\frac{9}{10}\]\[\frac{8}{32}=\frac{2\cdot2\cdot2}{2\cdot2\cdot2\cdot2\cdot2}=\frac{\not{2}\cdot\not{2}\cdot\not{2}}{\not{2}\cdot\not{2}\cdot\not{2}\cdot2\cdot2}=\frac{1}{4}\]You can see that none of them are equivalent.

Answer 6

\[\frac{9}{5}=\frac{21}{35}?\]
\[35\times 9=5\times 51?\]
\[175=225?\] NO

Answer 7

\[\frac{9}{5}=\frac{27}{30}?\]
\[\frac{9}{5}=\frac{9}{10}?\]
\[9\times 10=5\times 9?\hell no

Answer 8

in fact
\[\frac{9}{5}>1\] but
\[\frac{27}{30}<1\]

Answer 9

across is right boss

Answer 10

NONE

9/5 = 1.8

21 to 35 = .6

27: 30 = .9

8/32 = .25