Question:
Between the numbers $\frac{15}{20}$ and $\frac{35}{40}$, the greater number is__________.
Solution:
The LCM of the denominators 20 and 40 is 40
$\therefore(15 / 20)=[(15 \times 2) /(20 \times 2)]=(30 / 40)$
and $(35 / 40)=[(35 \times 1) /(40 \times 1)]=(35 / 40)$
Now, $30<35$
$\Rightarrow(30 / 40)<(35 / 40)$
Hence, $(15 / 20)<(35 / 40)$
$\therefore 35 / 40$ is greater.
So. between the numbers $(15 / 20)$ and $(35 / 40)$, the greater number is $(35 / 40)$.
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