# Find the ratio of the following:(a) 30 minutes to 1.5 hours(b) 40 cm to 1.5 m(c) 55 paise to Rs. 1(d) 500 ml to 2 litres.

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To do:

We have to find the ratios of :

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

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

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

(d) $500\ ml$ to $2\ litres$.

Solution:

(a) We know that,

$1\ hour = 60\ minutes$

This implies,

$30\ minutes = \frac{30}{60}$

$= 0.5\ hours$

The ratio of $30\ minutes$ to $1.5\ hours$

$=\frac{0.5}{1.5}$

$=\frac{5}{15}$

$= \frac{1}{3}$

$=1:3$

The ratio of $30\ minutes$ to $1.5\ hours$ is $1:3$.

(b) We know that,

$1\ m = 100\ cm$

This implies,

$1.5\ m =1.5\times100\ cm$

$=150\ cm$

The ratio of $40\ cm$ to $1.5\ m$

$=\frac{40\ cm}{150\ cm}$

$= \frac{4}{15}$

$=4:15$

The ratio of $40\ cm$ to $1.5\ m$ is $4:15$.

(c)  We know that,

$1\ Rs. = 100\ paise$

The ratio of $55\ paise$ to $Rs.\ 1$

$=\frac{55\ paise}{100\ paise}$

$=\frac{55}{100}$

$= \frac{11}{20}$

$=11:20$

The ratio of $55\ paise$ to $Rs.\ 1$ is $11:20$.

(d)  We know that,

$1\ litre = 1000\ ml$

$2\ litres = 2\times1000\ ml$

$2\ litres = 2000\ ml$

The ratio of $500\ ml$ to $2\ litres$ is,

$=\frac{500\ ml}{2000\ ml}$

$= \frac{1}{4}$

$=1:4$

The ratio of $500\ ml$ to $2\ litres$ is $1:4$.

Updated on 10-Oct-2022 13:36:48