Find the least common denominator (LCD) for the fractions. A. 2 B. 10 C. 30 D. 60
what are your fractions?
The easiest way to find the LCD is to multiply the denominators. So 6*10=?
\[6\times10=60\]
yes so the LCD is 60.
That is a fine and dandy denominator :) It is not the `least` of which though.
Thanks :)
Can you help with three more though? :))
Look for what numbers they have in common: \(\large\rm 6=3\cdot\color{orangered}{2}\) \(\large\rm 10=5\cdot\color{orangered}{2}\) So your smallest denominator that can be made from 6 and 10 is going to be the result of \(\large\rm 3\cdot5\cdot2\)
oh thanks
If you want me to
yes please
7 goes in to 28 four times what is one fourth of forty?
in order to get the 28 to 7 we had to divide it by 4 so we need to do the same for the denominators. 40/4=?
\[40\div4=10\]
So a?
yes. very good
Thanks 2 more! :)
ok :)
in order to get the 42 to 7 we had to divide it by 6 so we need to do the same for the numerators. 54/6=?
\[54\div6=9\]
yes so your answer is 9 or D
Yay! Thanks so much! :)
Next one!
you're welcome :)
ok
to find the answer to this you need to find the LCD so 12*20=240. Now we need to change the numerators. So since we multiplied the 12 by 20 we need to do the same with the numerator of that fraction so 7*20=140, so our first fraction is 140/240. Now for the second fraction we multiplied the 20 by 12 so we need to do the same to the numerator so 11*12=132, so our second fraction is 132/240 and 132/240. Which one the numerators is higher? The one with the higher numerator takes up more space and therefore is the larger one.
So we know that they are not equal so C is out
so uh A?
yeah
so A?
No not A because that fraction became 140/240 and that is larger then the other fraction, which is 132/240, and A shows that the second fraction is larger.
Oh, so A is out.
yes
So the only option is B.
yes. which is correct because it shows that the first fraction is larger than the second fraction.
sorry if I confused you on that one
Thanks now i have one last questions :)
k
No, no you didn't confuse anyone thanks for helping me!
you're welcome :)
:)
Well A and B are out because, while the denominators do equal 48 when multiplied together, that is actually not the LCD, 24 is.
yeah.
D?
Now we know that we multiplied the 6 by 4 to get to 24 so we need to multiply the 5 by 4 which equals 20 so our first fraction is 20/24. Since we multiplied 8 by 3 to get 24 we need to multiply the 3 by 3 which equals 9 so our second fraction is 9/24.
Yes
very good :)
Yay! Thanks for all the help!! :) You're the best! :))
Got a 90% :) thanks!
Lol you're welcome. I'm glad that I could help :)
which one did you miss? If you don't mind me asking
Let me check, hold on. :)
This one was incorrect, the first one.
It was actually 30 but at least i got a good grade. :)
Ok I am sorry that I got it wrong. Good job on your grade :)
No need to be sorry because if you wouldn't have helped me i would've gotten a bad grade, thanks again i really appreciate it! :D
You're welcome. Have a nice day :)
You too! :) Thanks again!
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