Question

. Fill in the box with the correct number such that all given ratios become equivalent:
12/20 = 3/__ = __/125 = 45/__
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Answer 1

Step-by-step explanation:

12/20= (3×4)/(4×5)

cancelling 4 in numerator and denominator

we get 12/20 = (3/5)

(3/5)=(__/125)

multiply and divide (3/5) with 25 then we get

(3/5) = (75/125)

now 75/125 = 45/__

multiply and divide (3/5) in numerator and denominator

we get 75/125 = 45/75

so 12/20 = 3/5 = 75/125 = 45/75

Answer 2

Answer:

3/5

75/125

45/75

Step-by-step explanation:

Note

• If a/b = c/d then a*c = b*d
• it is nothing but cross multiplication that is numerator is multiplied with the denominator

12/20 = 3/x

=> 12*x = 3*20

=> 12x = 60

=> x = 60/12

=> x = 5

12/20 = a/125

=> 12*125 = 20*a.

=> 1500 = 20a

=> a = 1500/20

=> a = 75

12/20 = 45/m

=> 12*m = 45*20

=> 12m = 900

=> m = 900/12

=> m = 75