Question

Between the numbers $\frac{15}{20}$ and $\frac{35}{40}$, the greater number is___________

Answer 1

From the given details

we have determine the greater number between $\frac{15}{20}$ and $\frac{35}{40}$

Let us take the $LCM$ of denominators that is

$LCMof20and40$

Prime factorisation of $20=2x2x5$

Prime factorisation of $40=2x2x2x5$

$LCM=2x2x2x5=40$

$\therefore \left(\frac{15}{20}\right)=\left(\frac{15\times 2}{20\times 2}\right)=\frac{30}{40}$

and $\left(\frac{35}{40}\right)=\left(\frac{35\times 1}{40\times 1}\right)=\frac{35}{40}$

Now, $30<35$

$\Rightarrow \left(\frac{30}{40}\right)<\left(\frac{35}{40}\right)$

$Hence,\left(\frac{15}{20}\right)<\left(\frac{35}{40}\right)$

$\therefore \frac{35}{40}$ is greater.

So, between the numbers $\frac{15}{20}$ and $\frac{35}{40}$, the greater number is$\frac{35}{40}$.