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Answer :
After simplifying each proportion or using cross-multiplication, it is clear that option B.) 18/48 = 20/50 is the false proportion.
For A.) 24/30 = 20/25, we can simplify by dividing both sides by 5. Simplified, it becomes 4/5 = 4/5, which is true.
For B.) 18/48 = 20/50, simplifying both sides by 2 gives us 9/24 = 10/25, which is not equivalent since 9x25 is not equal to 24x10. Therefore, this proportion is false.
For C.) 25/45 = 75/135, simplifying by dividing both numbers by 15 gives us 5/9 = 5/9, which is true.
For D.) 10/25 = 40/100, simplifying by dividing both sides by 10 gives us 1/2.5 = 4/10. If we further simplify 4/10 by dividing both the numerator and denominator by 2, we get 1/2.5 = 2/5, which is true after rounding the decimal in the first ratio to 2.5.
Comparing these results, option B is the false proportion.
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