Answer:
The answer is C) 18/48 and 21/56.
Explanation:
Two ratios are proportional if they have the same ratio when simplified to lowest terms.
A) 7/10 and 10/10 cannot be proportional because 7/10 cannot be simplified further, while 10/10 simplifies to 1/1.
B) To simplify the first ratio, we can divide both the numerator and denominator by 4, giving us 5/7. To simplify the second ratio, we can divide both the numerator and denominator by 3, giving us 5/6. Since these simplified ratios are not equal, the two ratios are not proportional.
C) To simplify the first ratio, we can divide both the numerator and denominator by 6, giving us 3/8. To simplify the second ratio, we can divide both the numerator and denominator by 7, giving us 3/8. Since these simplified ratios are equal, the two ratios are proportional.
D) To simplify the first ratio, we can multiply both the numerator and denominator by 2, giving us 6/10, which simplifies to 3/5. The second ratio is already in simplified form. Since these simplified ratios are not equal, the two ratios are not proportional.
Therefore, the answer is C) 18/48 and 21/56.