To find the ratio of miles driven to gallons used for both Car A and Car D, we will first determine their ratios as fractions and then convert them to have a common denominator of 8.
Car A:
- Miles driven: 224
- Gallons used: 8
The ratio of miles driven to gallons used for Car A is: \[ \frac{224}{8} \]
Car D:
- Miles driven: 92
- Gallons used: 4
The ratio of miles driven to gallons used for Car D is: \[ \frac{92}{4} \]
Simplifying the Ratios:
For Car A: \[ \frac{224}{8} = 28 \]
For Car D: \[ \frac{92}{4} = 23 \]
Writing the Ratios with a Common Denominator of 8:
Car A's ratio in terms of gallons: \[ \frac{224}{8} = \frac{28 \times 8}{8} = \frac{224}{8} \] So, for Car A, this is: \[ \frac{28}{8} \]
Car D's ratio in terms of gallons: \[ \frac{92}{4} = \frac{23 \times 2}{4} = \frac{46}{8} \] So, for Car D, this is: \[ \frac{46}{8} \]
Final Result:
- The ratio of miles to gallons for Car A is \(\frac{28}{8}\).
- The ratio of miles to gallons for Car D is \(\frac{46}{8}\).
Comparison:
The ratio for Car A is: \[ \frac{28 \text{ miles}}{8 \text{ gallons}} \] and the ratio for Car D is: \[ \frac{46 \text{ miles}}{8 \text{ gallons}} \]
Now, comparing the two ratios: \[ \frac{28}{8} \text{ is less than } \frac{46}{8} \] Thus, the ratio for Car A is less than the ratio for Car D.
In summary:
- The ratio of miles to gallons for Car A is \(\frac{28}{8}\).
- The ratio of miles to gallons for Car D is \(\frac{46}{8}\).
- The ratio for Car A is less than the ratio for Car D.
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