Respuesta :

Answer:

9

Step-by-step explanation:

Whatever you do to the denominator, you've got to do to the numerator, and vice versa. So for 8 to become 24, you multiply by 3. do that to the numerator 3 as well. 3 × 3 is 9.

For the sake of showing work I will replace the empty space with an x like so...

[tex]\frac{3}{8} =\frac{x}{24}[/tex]

To find out what x is you must cross multiply (aka butterfly)

***Image of this step is attached below

3*24 = 8*x

72 = 8x

Next divide 8 to both sides to finish isolating x. Since 8 is being multiplied by x, division (the opposite of multiplication) will cancel 8 out (in this case it will make 8 one) from the right side and bring it over to the left side.

72 ÷ 8 = 8x ÷ 8

9 = 1x

9 = x

To make these fractions equivalent the empty spot must be 9

[tex]\frac{3}{8} = \frac{9}{24}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

 

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