Answer :

ollieboyne
1/9 of 18 is 2.

So 4/9 of 18 = 4*2 = 8

So Sara lived in Rochester for 8 years.
BladeRunner212

8 years

Further explanation

Given:

Sara just turned 18 years old.

She spent [tex]\frac{4}{9}[/tex] of her life living in Rochester, NY.

Question:

How many years did Sara live in Rochester?

The Process:

From the information above, we make a suitable diagram as follows:

[tex]\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = ? \ years [/tex]

Four of the nine parts are the question. The nine full parts below are Sara's ages.

[tex]\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = 18 \ years [/tex]

Let us calculate how many years did Sara live in Rochester.

  • [tex]\boxed{ \ 9 \ parts = 18 \ }[/tex]
  • [tex]\boxed{ \ 4 \ parts = ? \ }[/tex]

[tex]\boxed{ \ = \frac{4}{9} \times 18 \ }[/tex]

We crossed out 9 and 18.

[tex]\boxed{ \ = 4 \times 2 \ }[/tex]

Thus Sara has lived in Rochester for [tex]\boxed{\boxed{ \ 8 \ years \ }}[/tex]

- - - - - - - - - -

Quick Steps:

[tex]\boxed{ \ = \frac{4}{9} \times 18 \ }[/tex]

[tex]\boxed{ \ = 4 \times 2 \ }[/tex]

[tex]\boxed{\boxed{ \ 8 \ years \ }}[/tex]

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Keywords: Sara, just turned 18 years old, she spent ⁴/₉, her life, living in Rochester, NY, how many, live in Rochester