Question

Question 64

Describe two method to compare $\frac{13}{17}$ and 0.82. which do you think is easier and why?

Answer 1

Method I . Convert both into decimals

$\frac{13}{17}=0.76$
$\therefore 0.76<0.82$
Hence,$\frac{13}{17}<0.82$

Method II. Convert both into fractions
$0.82=\frac{82}{100}=\frac{41}{50}$
Now compare $\frac{13}{17}and\frac{41}{50}$

To compare these fraction we have to make the denominator same,

$\therefore \frac{13}{17}=\frac{13}{17}\times \frac{50}{50}=\frac{650}{850}$
$\frac{41}{50}=\frac{41}{50}\times \frac{17}{17}=\frac{697}{850}$
$\therefore \frac{697}{850}>\frac{650}{850}$
Hence $\frac{13}{17}<0.82$