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Which of these is the same as 8/9 divided by 2/3?

A- 8/9 divided by 3/2
B- 2/3 divided by 8/9
C- 8/9 x 2/3
D- 8/9 x 3/2

Sagot :

Ayah1idn
the answer is D
when u divide fractions, all you do is switch one of the fractions (5/8 to 8/5 or 6/7 to 7/6) and multiply

Answer : The correct option is, (D) 8/9 x 3/2

Step-by-step explanation :

As we are given the expression:

[tex]\frac{8}{9}[/tex] ÷ [tex]\frac{2}{3}[/tex]

Now we have to determine the same expression as 8/9 divided by 2/3.

[tex]\frac{8}{9}[/tex] ÷ [tex]\frac{2}{3}[/tex]

This expression we can also written as:

[tex]\frac{8}{9}[/tex] × [tex]\frac{3}{2}[/tex]

That means, when we are reversing the sign then the adjacent fraction will also reverse.

From the given options we conclude that, the option D is the same  as 8/9 divided by 2/3.

Hence, the correct option is, (D) 8/9 x 3/2

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