which ratio cannot form a proportion with 2/5?
A. 6/20
B. 14/35
C. 4/10
D. 6/15
A
To determine which ratio cannot form a proportion with 2/5, we need to find the ratio that does not have an equivalent value when simplified.
First, let's simplify each of the ratios:
A. 6/20 = 3/10
B. 14/35 = 2/5
C. 4/10 = 2/5
D. 6/15 = 2/5
From the simplified values, we can see that all the ratios have an equivalent value of 2/5 except for ratio A (6/20 or 3/10). Therefore, the ratio that cannot form a proportion with 2/5 is A. 6/20.
To determine which ratio cannot form a proportion with 2/5, we need to find the equivalent ratio of 2/5 for each option and check if they are equal.
Let's check each option:
A. The equivalent ratio of 2/5 for 6/20 is determined by multiplying both the numerator and the denominator by 4. So, 6/20 is equivalent to 24/80. Since 2/5 is not equal to 24/80, option A can form a proportion with 2/5.
B. The equivalent ratio of 2/5 for 14/35 is determined by multiplying both the numerator and the denominator by 2. So, 14/35 is equivalent to 28/70. Since 2/5 is not equal to 28/70, option B can form a proportion with 2/5.
C. The equivalent ratio of 2/5 for 4/10 is determined by multiplying both the numerator and the denominator by 2. So, 4/10 is equivalent to 8/20. Since 2/5 is equal to 8/20, option C cannot form a proportion with 2/5.
D. The equivalent ratio of 2/5 for 6/15 is determined by multiplying both the numerator and the denominator by 5. So, 6/15 is equivalent to 30/75. Since 2/5 is not equal to 30/75, option D can form a proportion with 2/5.
Therefore, the ratio that cannot form a proportion with 2/5 is C. 4/10.