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Compare the ratios 2:3 and 4:5....

Compare the ratios 2:3 and 4:5.

Text Solution

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(a) By converting to decimal:
`2:3 = (2)/(3) = 0.bar(6)`
`4:5 = (4)/(5) = 0.8`
`"As " 0.bar(6) lt 0.8, 2.:3 lt 4:5.`
(b) By converting to fractions:
Ratios can be compared by converting them to like fractions.
`2:3 = (2)/(3) = (2(5))/(3(5)) = (10)/(15)`
`4:5 = (4)/(5) = (4(3))/(5(3)) = (12)/(15)`
`"As "(10)/(15) lt (12)/(15), 2:3 lt 4:5.`
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