Question

Describe two methods to compare `13/17` and 0.82. Which do you think is easier and why?

Answer 1

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 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.