Question

Which of the following choices is a complete list of the ways to properly rewrite the ratio?

A) 6:38, 9:57, 15:95
B) 1:6.33, 2:12.67, 4:25.33
C) 30:190, 60:380, 90:570
D) 15:95, 30:190, 45:285

Answer 1

The correct choice for rewriting the ratio 6:38 in equivalent forms is option C) 30:190, 60:380, 90:570, as each of these ratios maintains the equivalent relationship found in the original ratio.

Step-by-step explanation:

The question asks which of the following choices is a complete list of the ways to properly rewrite the ratio 6:38. To determine the correct answer, we need to find the equivalent ratios that maintain the same relationship between the numbers in the original ratio. Equivalent ratios can be found by multiplying or dividing both terms of the original ratio by the same number.

Starting with the original ratio 6:38, we can multiply both the numerator and the denominator by different whole numbers to find other equivalent ratios:

• Multiplying by 5 gives us 30:190.
• Multiplying by 10 gives us 60:380.
• Multiplying by 15 gives us 90:570.

Therefore, choice C) 30:190, 60:380, 90:570 provides a complete list of ways to rewrite the ratio by maintaining the equivalent relationship.