a) To solve this equation, you would need to fill in the blank with a substitute. Let x represent the unknown number.
[tex] \frac{27}{45} [/tex] = [tex] \frac{x}{5} [/tex]
Next, you would cross multiply.
135 = 45x
Now, the last step would be to isolate the x. To do this, you would divide both sides by 45.
3 = x
[tex] \frac{27}{45} [/tex] = [tex] \frac{3}{5} [/tex]
b) To solve this equation, you would need to fill in the blank with a substitute. Let x represent the unknown number.
[tex] \frac{2}{6} [/tex] = [tex] \frac{3}{x} [/tex]
Next, you would cross multiply.
18 = 2x
Now, the last step would be to isolate the x. To do this, you would divide both sides by 2.
9 = x
[tex] \frac{2}{6} [/tex] =[tex] \frac{3}{9} [/tex]
I hope this helps!