↝she says to find 6 divided by 2/3 i can just take the value of 6 divided by 1/3 then either multiply it by 1/2 or divide it by 2 do you agree with her explain why or why not
because ,
[tex]➝ \: \frac{6}{ \frac{2}{3} } = 6 \times \frac{3}{2 } = \frac{18}{2} = 9 \\ [/tex]
and ,
[tex]➝ \: \frac{6}{ \frac{1}{3} } = 6 \times \frac{3}{1 } = 18 \\ [/tex]
Now,
[tex]➝ \: 18 \times \frac{1}{2} = 9 \\ [/tex]
or
[tex]➝ \: \frac{18}{2} = 9 \\ [/tex]
hence , she's correct all the way ✓
Answer:
She is correct.
Step-by-step explanation:
Actual calculation:
[tex]6 \div \dfrac23=6 \times \dfrac32=\dfrac{6 \times 3}{2}=\dfrac{18}{2}=9[/tex]
Dividing a number by 1/3 is the same as multiplying it by 3:
[tex]6 \div \dfrac13=6 \times \dfrac31=6 \times 3 = 18[/tex]
Multiplying by 1/2 or dividing by 2 are the same operation.
If we divide 18 by 2 we get 9, which is the correct answer.
