Answer :
Answer: A) 16/40
Step-by-step explanation:
They are the same ratio, and when divided equal 0.4.
Final answer:
Only the ratio 16/40 simplifies to 2/5, making it the only option that forms a proportion with 2/5. The process involves simplifying each option to see if it matches 2/5 (option a).
Explanation:
To find which of the given ratios form a proportion with 2/5, we need to determine if each ratio can be simplified or scaled to match 2/5. A proportion exists when two ratios are equivalent, meaning one can be derived from the other through multiplication or division by the same number.
- a) 16/40: This simplifies to 2/5 when both the numerator and denominator are divided by 8.
- b) 10/30: This simplifies to 1/3 and does not form a proportion with 2/5.
- c) 12/25: This ratio does not simplify to 2/5 and thus does not form a proportion with it.
- d) 12/35: This ratio also does not simplify to 2/5, meaning it does not form a proportion with 2/5.
Therefore, the only ratio that forms a proportion with 2/5 is 16/40.