How do you simplify $3/4 : 2/3$ ?

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Answer 1 · 2015-09-24T23:58:42

$color(red)(3/4:2/3 = 9:8)$

You want to convert the fractional proportion $3/4:2/3$ to a proportion of two integers.

Multiply each side of the proportionality by the lowest common multiple of the denominators.

The lowest common multiple of the denominators ( $"4 and 3"$ ) is $12$ .

$3/4:2/3 = (3/4× 12):(2/3×12)$

∴ $3/4:2/3 = 9:8$

How do you simplify 3/4 : 2/33/4 : 2/3?