Write the following ratio in the simplest form:
$4 k g : 2 k g 500 g$

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Solution

The given quantities are $4 k g$ and $2 k g 500 g$
Converting the given quantities to same units by using the relation $1 k g = 1000 g$
$4 k g = 4 \times 1000 = 4000 g$
$2 k g 500 g = 2000 g + 500 g = 2500 g$
Hence, $4 k g : 2 k g 500 g = 4000 g : 2500 g$
$\Rightarrow 40 : 25$
$\Rightarrow 5 \times 8 : 5 \times 5$
$\Rightarrow 8 : 5$
$∴$ The simplest form of the given ratio is $8 : 5$ .

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Write the following ratio in the simplest form:4 kg:2 kg 500 g

The given quantities are 4 kg and 2 kg 500 gConverting the given quantities to same units by using the relation 1 kg=1000 g4 kg=4×1000=4000 g 2 kg 500 g=2000 g+500 g=2500 gHence, 4 kg:2 kg 500 g=4000 g:2500 g⇒40:25⇒5×8:5×5⇒8:5∴ The simplest form of the given ratio is 8:5.

Write the following ratio in the simplest form:
$4 k g : 2 k g 500 g$