Find the ratio of $2 L 750 ml to 750 ml$ .

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Solution

To find the ratio of two quantities their units must be the same.
$2 L 750 ml$ can be written as $2750 m l$ ( $1 L = 1000 m l, 2 L = 2 \times 1 L = 2 \times 1000 m l = 2000 m l$
$2 L 750 m l = 2000 m l + 750 m l = 2750 m l)$
The fraction can be written as $\frac{2750 ml}{750 ml}$ = $\frac{2750}{750}$ = $\frac{275}{75}$ = $\frac{25 \times 11}{25 \times 3}$ = $\frac{11}{3}$
$11 and 3$ have no common factor other than one.
$\frac{11}{3}$ is the simplest fraction of $\frac{2750}{750}$ and the simplest ratio is $11 : 3$

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Find the ratio of 2L750mlto750ml.

Find the ratio of $2 L 750 ml to 750 ml$ .