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3 years ago

What is the greatest common factor of the terms in the expression 7/3ab-7/6b

Mathematics

2 answers:

NISA [10]3 years ago

8 0

7b, is the answer. they both have a numerator of 7, and the both have x

Margaret [11]3 years ago

3 0

Final result :

7b • (2a - 1) all over 6

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sergeinik [125]

Hey!

We can use long division to solve this,
Let's write it.
$6\overline{|\smallspace22}\space\space\space\space$
Then, divide $22$ by $6$ to get $3$ .
$\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}$
Multiply the quotient by the divisor...
$\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}$
Subtract $18$ from $22$ .
$\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}$
As you can see, our answer using long division would be 3 with a remainder of 4.

Thanks!
-TetraFish

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