Respuesta :

Hey there!


4/5 = x/9

CROSS-MULTIPLY the fractions

4 * 9 = x * 5

4 * 9 = 5 * x

SIMPLIFY IT!
36 = 5x

5x = 36

DIVIDE 5 to BOTH SIDES

5x/5 = 36/5

SIMPLIFY IT!
x = 36/5


Therefore, the answer should be:
x = 36/5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

[tex] \boxed{ \boxed{\bf x= \cfrac{36 }{5} }\bf \: or\:\boxed{\bf x= 7.2}}[/tex]

Step-by-step explanation:

[tex] \bf \cfrac{4}{5} = \cfrac{x}{9} [/tex]

We first need to multiply both sides by 9.

  • [tex]\bf \cfrac{4}{5} \times 9 = x[/tex]

Let's put 4/5 × 9 as a single fraction.

  • [tex] \bf \cfrac{4 \times 9}{5} = x[/tex]

Multiply 4 and 9 = 36

  • [tex] \bf x= \cfrac{36 }{5} \: \: or\: \: x=7.2 [/tex]

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