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

1 Answer
Ernest Z.
Sep 24, 2015

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

Explanation:

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#

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