The ratio of 3 1/4 to 5 1/4 is equivalent to which of the following ratios?

The ratio of 3 1/4 to 5 1/4 is equivalent to which of the following ratios?

• A. 3 to 5
• B. 4 to 7
• C. 8 to 13
• D. 13 to 21

Answer: (D)

To determine the equivalent ratio of 3 1/4 to 5 1/4, we first convert the mixed numbers into improper fractions. 3 1/4 can be converted by multiplying the whole number (3) by the denominator (4) and adding the numerator (1): 3 1/4 = (3 × 4 + 1) / 4 = (12 + 1) / 4 = 13/4. Similarly, we convert 5 1/4: 5 1/4 = (5 × 4 + 1) / 4 = (20 + 1) / 4 = 21/4. Now, we can form the ratio of these two improper fractions: (13/4) / (21/4) = 13/21. This simplifies to the ratio 13 to 21. Thus, the correct response that shows the ratio of 3 1/4 to 5 1/4 is equivalent to is 13 to 21. This demonstrates the method of converting mixed numbers to improper fractions, and then simplifying to find the equivalent ratio, making it clear how to arrive at the final answer.

To determine the equivalent ratio of 3 1/4 to 5 1/4, we first convert the mixed numbers into improper fractions.

3 1/4 can be converted by multiplying the whole number (3) by the denominator (4) and adding the numerator (1):

3 1/4 = (3 × 4 + 1) / 4 = (12 + 1) / 4 = 13/4.

Similarly, we convert 5 1/4:

5 1/4 = (5 × 4 + 1) / 4 = (20 + 1) / 4 = 21/4.

Now, we can form the ratio of these two improper fractions:

(13/4) / (21/4) = 13/21.

This simplifies to the ratio 13 to 21.

Thus, the correct response that shows the ratio of 3 1/4 to 5 1/4 is equivalent to is 13 to 21. This demonstrates the method of converting mixed numbers to improper fractions, and then simplifying to find the equivalent ratio, making it clear how to arrive at the final answer.