# Q. 7.     Find the ratio of the following:            (a) $\inline 30$ minutes to$\inline 1.5$ hours            (b) $\inline 40\; cm$ to $\inline 1.5 \; cm$            (c) $\inline 55$ paise to $\inline Rs.1$            (d) $\inline 500\; mL$ to $\inline 2\; litres$

P Pankaj Sanodiya

(a) $\inline 30$ minutes to$\inline 1.5$ hours

As we know,

$1 \:hour = 60\:minutes$

So,

$1.5 \:hour =1.5\times 60=90\:minutes$

Hence The ratio of  $\inline 30$ minutes to$\inline 1.5$ hours:

$\frac{30}{90}=\frac{3}{9}=\frac{1}{3}=1:3$

(b) $\inline 40\; cm$ to $\inline 1.5 \; cm$

As we know,

$1 \:m= 100\:cm$

So,

$1.5 \:cm=1.5\times 100=150\:cm$

Hence The ratio of  $\inline 40\; cm$ to $\inline 1.5 \; cm$

$\frac{40}{150}=\frac{4}{15}=4:15.$

(c) $\inline 55$ paise to $\inline Rs.1$

(d) $\inline 500\; mL$ to $\inline 2\; litres$

P Pankaj Sanodiya

(a) $\inline 30$ minutes to$\inline 1.5$ hours

As we know,

$1 \:hour = 60\:minutes$

So,

$1.5 \:hour =1.5\times 60=90\:minutes$

Hence the ratio of  $\inline 30$ minutes to$\inline 1.5$ hours:

$\frac{30}{90}=\frac{3}{9}=\frac{1}{3}=1:3$

(b) $\inline 40\; cm$ to $1.5m$

As we know,

$1 \:m= 100\:cm$

So,

$1.5 \:m=1.5\times 100=150\:cm$

Hence the ratio of  $\inline 40\; cm$ to $1.5 \:m=1.5\times 100=150\:m$

$\frac{40}{150}=\frac{4}{15}=4:15.$

(c) $\inline 55$ paise to $\inline Rs.1$

As we know,

$1 \:rupee= 100\:paise$

Hence the ratio of  $\inline 55$ paise to $\inline Rs.1$

$\frac{55}{100}=\frac{11}{20}=11:20$

(d) $\inline 500\; mL$ to $\inline 2\; litres$

As we know,

$1 \:litre= 1000\:mL$

So

$2 \:litre= 2\times1000=2000\:mL$

Hence the ratio of  $\inline 500\; mL$ to $\inline 2\; litres$:

$\frac{500}{2000}=\frac{1}{4}=1:4$

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