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Question
Describe two methods to compare `13/17` and 0.82. Which do you think is easier and why?
Solution
Method I: Convert both into decimals
`13/17` = 0.76
∴ 0.76 < 0.82
Hence, `13/17 < 0.82`
Method II: Convert both into fractions
0.82 = `82/100 = 41/50`
Now, compare `13/17` and `41/50`
To compare these fractions, we have to make the denominator the same,
∴ `13/17 = 13/17 xx 50/50 = 650/850`
`41/50 = 41/50 xx 17/17 = 697/850`
∴ `697/850 > 650/850`
Hence, `13/17 < 0.82`
Conclusion Method II is easier.
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