Question

help with math
ss below

Answer 1

@AZ

Answer 2

So

Fiona and George's fractions have a common denominator (or LCM) of 10ab^2

Fiona and Henry's fractions have a common denominator (or LCM) of 4a^3b

so to figure out what Fiona's denominator is, just find the GCF of those two terms

and then similarly for George and Henry we would use the two terms where they are a constant.

so what is the GCF of 10ab^2 and 4a^3b

Answer 3

2ab?

Answer 4

Exactly!

and now let's find George's denominator

Fiona and George's fractions has a common denominator (or LCM) of 10ab^2

George and Henry's fraction has a common denominator (or LCM) of 20a^3b^2

What is the GCF of those two terms?

Answer 5

10ab^2

Answer 6

Good! And now Henry's denominator

George and Henry's fraction has a common denominator (or LCM) of 20a^3b^2
Fiona and Henry's fractions has a common denominator (or LCM) of 4a^3b

What is the GCF?

Answer 7

4a^3b

Answer 8

Well done

and now if you want, you can check to make sure

Fiona is 2ab
George is 10ab^2
Henry is 4a^3b

so if you want, you can find the LCM of like Fiona and George
or Fiona and Henry
or George and Henry

and you should get all the same values that they told you in the question

Answer 9

Now you should be able to tell which one has the term that has the highest power of b

basically which one has the largest exponent on b
and what is that exponent

Answer 10

and then the second part talks about the coefficient of those terms

and the third part asks you to find the LCM of all three of those terms

Answer 11

ohh so all i had to do was find the least common multiple for all of them! thanks!

Answer 12

You're welcome!

Let me know if you want me to check your answers at the end :)

Answer 13

and yes, to clarify

simplest common denominator is the LCM

so like if you had

1/2 + 1/3

the simplest common denominator would be 6

6 is the LCM of 2 and 3

Answer 14

oops i meant GCF my bad

Answer 15

Oh haha, yeah. Also this was a really interesting question. If I'm being honest- when I first looked at it, I was initially stumped. But then I came back 20 minutes later and looked at it again and was like aha!

Answer 16

are these correct?

Answer 17

wait i think they are nvm
thanks AZ

Answer 18

Looks good!

Answer 19

It was my pleasure :D