What is 2/3 decreased by 4/9?

[@michaelmcdonagh2725]

Thanks again john 👍 you are awesome teacher

[@patriciagreen2365]

I totally agree!!

[@sanmiguel3280]

This is tricky. I took it as decreased by 4/9ths OF 2/3rds. So, I did x= 2/3 - (2/3 x 4/9).

[@dwaipayandattaroy9801]

13/25.09 yielding approx

[@hopeshealthyhelp1232]

thank u

[@tomtke7351]

let's start by approximating... as if someone said you have 3 seconds to solve... Decrease 2/3rds by 4/9ths. 4/9ths is roughly 1/2. I cut a pie into thirds and ate 1/3rd. Then I have 2/3rds left. If I decrease by appox 1/2 then only approx 1/3rd will be left.
FORMALLY==>
Divide 2/3
by
4/9
=
(2/3)/(4/9)
fraction rule #7:
invert and multiply
(2/3) × (9/4)
= 18/12ths...
oops.... that's no where near 1/3
revise thinking (converting words to equation.)
s/b:
(2/3) × (4/9)
= 8/27
is 8/27 ~= 1/3
8/27 = 0.296
1/3 = 0.333
so yes ✔️✔️✔️
but..BUT... taking away 4/9th leaves 5/9ths in place
so
2/3 × 5/9 = 10/27ths

[@myweirdsecondchannelwithap9070]

that's what I was thinking too, 2/3 x 5/9
which is 10/27. 10/27 is more than two thirds. 4/9 = 44.4444%, 2/3 = 66.6666%, and since 44% is less than 50%, the answer should be slightly more than 1/3. So 10/27 checks out.
then i realized it said substract

[@patriciagreen2365]

The answer is 2/9.

[@Vipre-]

Two ninths.

[@ethannarrow5209]

So if you where to say “decreased to” instead of “decreased by” then you would probably multiply, treating the 4/9ths as a ratio…like 4/9ths of 2/3rds…right? Idk when semantics factored into math problems but I don’t like it lol

[@robertadams3630]

3/9

[@sheila-mariemarcos582]

2/9

[@thatomofolo452]

Hi hello 👋👋